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1011434520 = 233531972803
BaseRepresentation
bin111100010010010…
…100010000011000
32121111012012022210
4330102110100120
54032411401040
6244210315120
734031023455
oct7422242030
92544165283
101011434520
11479a237a8
12242888aa0
13131711985
149848682c
155dbde480
hex3c494418

1011434520 has 128 divisors (see below), whose sum is σ = 3165603840. Its totient is φ = 258232320.

The previous prime is 1011434509. The next prime is 1011434521. The reversal of 1011434520 is 254341101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011434521) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 359439 + ... + 362241.

It is an arithmetic number, because the mean of its divisors is an integer number (24731280).

Almost surely, 21011434520 is an apocalyptic number.

1011434520 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 1011434520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582801920).

1011434520 is an abundant number, since it is smaller than the sum of its proper divisors (2154169320).

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

1011434520 is a wasteful number, since it uses less digits than its factorization.

1011434520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945 (or 2941 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1011434520 is about 31803.0583434990. The cubic root of 1011434520 is about 1003.7970706726.

Adding to 1011434520 its reverse (254341101), we get a palindrome (1265775621).

The spelling of 1011434520 in words is "one billion, eleven million, four hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 155 186 194 248 291 310 372 388 465 485 582 620 744 776 930 970 1164 1240 1455 1860 1940 2328 2803 2910 3007 3720 3880 5606 5820 6014 8409 9021 11212 11640 12028 14015 15035 16818 18042 22424 24056 28030 30070 33636 36084 42045 45105 56060 60140 67272 72168 84090 86893 90210 112120 120280 168180 173786 180420 260679 271891 336360 347572 360840 434465 521358 543782 695144 815673 868930 1042716 1087564 1303395 1359455 1631346 1737860 2085432 2175128 2606790 2718910 3262692 3475720 4078365 5213580 5437820 6525384 8156730 8428621 10427160 10875640 16313460 16857242 25285863 32626920 33714484 42143105 50571726 67428968 84286210 101143452 126429315 168572420 202286904 252858630 337144840 505717260 1011434520