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3117347464 = 237211898123
BaseRepresentation
bin1011100111001110…
…1111001010001000
322001020211122210111
42321303233022020
522341020104324
61233155324104
7140152005400
oct27163571210
98036748714
103117347464
11135a730320
1272bbb0634
133a8abccca
14218031800
15133a23794
hexb9cef288

3117347464 has 96 divisors (see below), whose sum is σ = 7501701600. Its totient is φ = 1200756480.

The previous prime is 3117347447. The next prime is 3117347483. The reversal of 3117347464 is 4647437113.

It is a super-2 number, since 2×31173474642 = 19435710422614462592, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379707 + ... + 387829.

It is an arithmetic number, because the mean of its divisors is an integer number (78142725).

Almost surely, 23117347464 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 3117347464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750850800).

3117347464 is an abundant number, since it is smaller than the sum of its proper divisors (4384354136).

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

3117347464 is a wasteful number, since it uses less digits than its factorization.

3117347464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8243 (or 8232 counting only the distinct ones).

The product of its digits is 169344, while the sum is 40.

The square root of 3117347464 is about 55833.2111202643. The cubic root of 3117347464 is about 1460.8144989258.

The spelling of 3117347464 in words is "three billion, one hundred seventeen million, three hundred forty-seven thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 89 98 154 178 196 308 356 392 539 616 623 712 979 1078 1246 1958 2156 2492 3916 4312 4361 4984 6853 7832 8123 8722 13706 16246 17444 27412 32492 34888 47971 54824 56861 64984 89353 95942 113722 178706 191884 227444 357412 383768 398027 454888 625471 714824 722947 796054 1250942 1445894 1592108 2501884 2891788 3184216 4378297 5003768 5060629 5783576 7952417 8756594 10121258 15904834 17513188 20242516 31809668 35026376 35424403 40485032 55666919 63619336 70848806 111333838 141697612 222667676 283395224 389668433 445335352 779336866 1558673732 3117347464