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2034244440 = 233252926719
BaseRepresentation
bin111100101000000…
…0001101101011000
312020202210022202200
41321100001231120
513131231310230
6533504530200
7101260535544
oct17120015530
95222708680
102034244440
11954306a58
12489320960
132655a7247
14154250a24
15bd8c9160
hex79401b58

2034244440 has 144 divisors (see below), whose sum is σ = 6848150400. Its totient is φ = 523681536.

The previous prime is 2034244439. The next prime is 2034244441. The reversal of 2034244440 is 444424302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2034244439) and next prime (2034244441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034244441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299401 + ... + 306119.

It is an arithmetic number, because the mean of its divisors is an integer number (47556600).

Almost surely, 22034244440 is an apocalyptic number.

2034244440 is a gapful number since it is divisible by the number (20) 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 2034244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424075200).

2034244440 is an abundant number, since it is smaller than the sum of its proper divisors (4813905960).

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

2034244440 is a wasteful number, since it uses less digits than its factorization.

2034244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6794 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 2034244440 is about 45102.5990381929. The cubic root of 2034244440 is about 1267.0712764055.

Adding to 2034244440 its reverse (444424302), we get a palindrome (2478668742).

The spelling of 2034244440 in words is "two billion, thirty-four million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 841 870 1044 1160 1305 1682 1740 2088 2523 2610 3364 3480 4205 5046 5220 6719 6728 7569 8410 10092 10440 12615 13438 15138 16820 20157 20184 25230 26876 30276 33595 33640 37845 40314 50460 53752 60471 60552 67190 75690 80628 100785 100920 120942 134380 151380 161256 194851 201570 241884 268760 302355 302760 389702 403140 483768 584553 604710 779404 806280 974255 1169106 1209420 1558808 1753659 1948510 2338212 2418840 2922765 3507318 3897020 4676424 5650679 5845530 7014636 7794040 8768295 11301358 11691060 14029272 16952037 17536590 22602716 23382120 28253395 33904074 35073180 45205432 50856111 56506790 67808148 70146360 84760185 101712222 113013580 135616296 169520370 203424444 226027160 254280555 339040740 406848888 508561110 678081480 1017122220 2034244440