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1400440320 = 2933520261
BaseRepresentation
bin101001101111001…
…0000011000000000
310121121011201222000
41103132100120000
510332003042240
6350544144000
746463355246
oct12336203000
93547151860
101400440320
1165956a5a4
12331008000
131941a4016
14d3dc8796
1582e30430
hex53790600

1400440320 has 160 divisors (see below), whose sum is σ = 4974726240. Its totient is φ = 373432320.

The previous prime is 1400440273. The next prime is 1400440333. The reversal of 1400440320 is 230440041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×14004403202 = 3922466179763404800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1400440293 and 1400440302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58990 + ... + 79250.

It is an arithmetic number, because the mean of its divisors is an integer number (31092039).

Almost surely, 21400440320 is an apocalyptic number.

1400440320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487363120).

1400440320 is an abundant number, since it is smaller than the sum of its proper divisors (3574285920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1400440320 is an equidigital number, since it uses as much as digits as its factorization.

1400440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1400440320 is about 37422.4574286617. The cubic root of 1400440320 is about 1118.8062110059.

Adding to 1400440320 its reverse (230440041), we get a palindrome (1630880361).

The spelling of 1400440320 in words is "one billion, four hundred million, four hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 20261 23040 34560 40522 60783 69120 81044 101305 121566 162088 182349 202610 243132 303915 324176 364698 405220 486264 547047 607830 648352 729396 810440 911745 972528 1094094 1215660 1296704 1458792 1620880 1823490 1945056 2188188 2431320 2593408 2735235 2917584 3241760 3646980 3890112 4376376 4862640 5186816 5470470 5835168 6483520 7293960 7780224 8752752 9725280 10373632 10940940 11670336 12967040 14587920 15560448 17505504 19450560 21881880 23340672 25934080 29175840 31120896 35011008 38901120 43763760 46681344 51868160 58351680 70022016 77802240 87527520 93362688 116703360 140044032 155604480 175055040 233406720 280088064 350110080 466813440 700220160 1400440320