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313434916 = 221747101971
BaseRepresentation
bin10010101011101…
…010001100100100
3210211210010212121
4102223222030210
51120214404131
651033555324
710524103264
oct2253521444
9724703777
10313434916
11150a20323
1288b75b44
134cc22c62
142d8ad7a4
151c7b4911
hex12aea324

313434916 has 48 divisors (see below), whose sum is σ = 599622912. Its totient is φ = 142784000.

The previous prime is 313434889. The next prime is 313434931. The reversal of 313434916 is 619434313.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 15 ways as a sum of consecutive naturals, for example, 322311 + ... + 323281.

It is an arithmetic number, because the mean of its divisors is an integer number (12492144).

Almost surely, 2313434916 is an apocalyptic number.

It is an amenable number.

313434916 is a deficient number, since it is larger than the sum of its proper divisors (286187996).

313434916 is a wasteful number, since it uses less digits than its factorization.

313434916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1138 counting only the distinct ones).

The product of its digits is 23328, while the sum is 34.

The square root of 313434916 is about 17704.0931990317. The cubic root of 313434916 is about 679.2804643889.

The spelling of 313434916 in words is "three hundred thirteen million, four hundred thirty-four thousand, nine hundred sixteen".

Divisors: 1 2 4 17 34 47 68 94 101 188 202 404 799 971 1598 1717 1942 3196 3434 3884 4747 6868 9494 16507 18988 33014 45637 66028 80699 91274 98071 161398 182548 196142 322796 392284 775829 1551658 1667207 3103316 3334414 4609337 6668828 9218674 18437348 78358729 156717458 313434916