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318274304 = 282943997
BaseRepresentation
bin10010111110000…
…111101100000000
3211011220000021012
4102332013230000
51122434234204
651325420052
710613200265
oct2276075400
9734800235
10318274304
11153726217
128a70a628
1350c288ba
14303ad26c
151ce1d76e
hex12f87b00

318274304 has 72 divisors (see below), whose sum is σ = 673170960. Its totient is φ = 149925888.

The previous prime is 318274291. The next prime is 318274343. The reversal of 318274304 is 403472813.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 318734 + ... + 319730.

Almost surely, 2318274304 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 318274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336585480).

318274304 is an abundant number, since it is smaller than the sum of its proper divisors (354896656).

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

318274304 is an equidigital number, since it uses as much as digits as its factorization.

318274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 318274304 is about 17840.2439445205. The cubic root of 318274304 is about 682.7586206972.

The spelling of 318274304 in words is "three hundred eighteen million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 128 172 232 256 344 464 688 928 997 1247 1376 1856 1994 2494 2752 3712 3988 4988 5504 7424 7976 9976 11008 15952 19952 28913 31904 39904 42871 57826 63808 79808 85742 115652 127616 159616 171484 231304 255232 319232 342968 462608 685936 925216 1243259 1371872 1850432 2486518 2743744 3700864 4973036 5487488 7401728 9946072 10974976 19892144 39784288 79568576 159137152 318274304