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316093504 = 2629732333
BaseRepresentation
bin10010110101110…
…011010001000000
3211000210012202211
4102311303101000
51121404443004
651210551504
710555515256
oct2265632100
9730705684
10316093504
11152476801
1289a38594
135064409c
142dda25d6
151cb3c504
hex12d73440

316093504 has 56 divisors (see below), whose sum is σ = 658047960. Its totient is φ = 150441984.

The previous prime is 316093499. The next prime is 316093511. The reversal of 316093504 is 405390613.

316093504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 38937600 + 277155904 = 6240^2 + 16648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134322 + ... + 136654.

Almost surely, 2316093504 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 316093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329023980).

316093504 is an abundant number, since it is smaller than the sum of its proper divisors (341954456).

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

316093504 is a wasteful number, since it uses less digits than its factorization.

316093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 316093504 is about 17779.0186455833. The cubic root of 316093504 is about 681.1956358268.

The spelling of 316093504 in words is "three hundred sixteen million, ninety-three thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 73 116 146 232 292 464 584 928 1168 1856 2117 2333 2336 4234 4666 4672 8468 9332 16936 18664 33872 37328 67657 67744 74656 135314 135488 149312 170309 270628 340618 541256 681236 1082512 1362472 2165024 2724944 4330048 4938961 5449888 9877922 10899776 19755844 39511688 79023376 158046752 316093504