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3431131312 = 24725974177
BaseRepresentation
bin1100110010000010…
…1110100010110000
322212010021112022111
43030200232202300
524011332200222
61324245015104
7151012064200
oct31440564260
98763245274
103431131312
111500869814
127b90b4494
13428b05a1b
14247992400
15151356777
hexcc82e8b0

3431131312 has 60 divisors (see below), whose sum is σ = 7864351560. Its totient is φ = 1445541888.

The previous prime is 3431131309. The next prime is 3431131381. The reversal of 3431131312 is 2131311343.

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, 9168 + ... + 83344.

It is an arithmetic number, because the mean of its divisors is an integer number (131072526).

Almost surely, 23431131312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932175780).

3431131312 is an abundant number, since it is smaller than the sum of its proper divisors (4433220248).

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

3431131312 is a wasteful number, since it uses less digits than its factorization.

3431131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74258 (or 74245 counting only the distinct ones).

The product of its digits is 648, while the sum is 22.

The square root of 3431131312 is about 58575.8594644586. The cubic root of 3431131312 is about 1508.2700700903.

Adding to 3431131312 its reverse (2131311343), we get a palindrome (5562442655).

The spelling of 3431131312 in words is "three billion, four hundred thirty-one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 59 98 112 118 196 236 392 413 472 784 826 944 1652 2891 3304 5782 6608 11564 23128 46256 74177 148354 296708 519239 593416 1038478 1186832 2076956 3634673 4153912 4376443 7269346 8307824 8752886 14538692 17505772 29077384 30635101 35011544 58154768 61270202 70023088 122540404 214445707 245080808 428891414 490161616 857782828 1715565656 3431131312