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3431310344 = 237116438663
BaseRepresentation
bin1100110010000101…
…1010010000001000
322212010121121220022
43030201122100020
524011403412334
61324252520012
7151013441150
oct31441322010
98763547808
103431310344
111500981280
127b9180008
13428b69367
142479db760
1515138e82e
hexcc85a408

3431310344 has 64 divisors (see below), whose sum is σ = 8034647040. Its totient is φ = 1334640960.

The previous prime is 3431310319. The next prime is 3431310349. The reversal of 3431310344 is 4430131343.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3431310349) 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 15 ways as a sum of consecutive naturals, for example, 391757 + ... + 400419.

It is an arithmetic number, because the mean of its divisors is an integer number (125541360).

Almost surely, 23431310344 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 3431310344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017323520).

3431310344 is an abundant number, since it is smaller than the sum of its proper divisors (4603336696).

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

3431310344 is a wasteful number, since it uses less digits than its factorization.

3431310344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3431310344 is about 58577.3876508675. The cubic root of 3431310344 is about 1508.2963028287.

Adding to 3431310344 its reverse (4430131343), we get a palindrome (7861441687).

The spelling of 3431310344 in words is "three billion, four hundred thirty-one million, three hundred ten thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 643 1286 2572 4501 5144 7073 8663 9002 14146 17326 18004 28292 34652 36008 49511 56584 60641 69304 95293 99022 121282 190586 198044 242564 381172 396088 485128 667051 762344 1334102 2668204 5336408 5570309 11140618 22281236 38992163 44562472 61273399 77984326 122546798 155968652 245093596 311937304 428913793 490187192 857827586 1715655172 3431310344