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3244125312 = 27323498069
BaseRepresentation
bin1100000101011101…
…0110110010000000
322101002101122022100
43001113112302000
523120444002222
61253524510400
7143251416201
oct30127266200
98332348270
103244125312
1114152513aa
1276654b400
133c914ac9c
1422abd35a8
1513ec174ac
hexc15d6c80

3244125312 has 96 divisors (see below), whose sum is σ = 9363217500. Its totient is φ = 1078142976.

The previous prime is 3244125289. The next prime is 3244125337. The reversal of 3244125312 is 2135214423.

3244125312 is a `hidden beast` number, since 324 + 4 + 1 + 25 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3049690176 + 194435136 = 55224^2 + 13944^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 398014 + ... + 406082.

Almost surely, 23244125312 is an apocalyptic number.

3244125312 is a gapful number since it is divisible by the number (32) 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 3244125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681608750).

3244125312 is an abundant number, since it is smaller than the sum of its proper divisors (6119092188).

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

3244125312 is a wasteful number, since it uses less digits than its factorization.

3244125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8438 (or 8423 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 3244125312 is about 56957.2235278371. The cubic root of 3244125312 is about 1480.3549964109.

Adding to 3244125312 its reverse (2135214423), we get a palindrome (5379339735).

The spelling of 3244125312 in words is "three billion, two hundred forty-four million, one hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 349 384 576 698 1047 1152 1396 2094 2792 3141 4188 5584 6282 8069 8376 11168 12564 16138 16752 22336 24207 25128 32276 33504 44672 48414 50256 64552 67008 72621 96828 100512 129104 134016 145242 193656 201024 258208 290484 387312 402048 516416 580968 774624 1032832 1161936 1549248 2323872 2816081 3098496 4647744 5632162 8448243 9295488 11264324 16896486 22528648 25344729 33792972 45057296 50689458 67585944 90114592 101378916 135171888 180229184 202757832 270343776 360458368 405515664 540687552 811031328 1081375104 1622062656 3244125312