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315329640 = 233514991753
BaseRepresentation
bin10010110010111…
…000110001101000
3210222100101221120
4102302320301220
51121211022030
651142335240
710546154253
oct2262706150
9728311846
10315329640
11151aa490a
128972a520
13504374b2
142dc4409a
151ca3b010
hex12cb8c68

315329640 has 64 divisors (see below), whose sum is σ = 947160000. Its totient is φ = 83983872.

The previous prime is 315329639. The next prime is 315329683. The reversal of 315329640 is 46923513.

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, 179004 + ... + 180756.

It is an arithmetic number, because the mean of its divisors is an integer number (14799375).

Almost surely, 2315329640 is an apocalyptic number.

315329640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

315329640 is an abundant number, since it is smaller than the sum of its proper divisors (631830360).

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

315329640 is a wasteful number, since it uses less digits than its factorization.

315329640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3262 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 315329640 is about 17757.5234759805. The cubic root of 315329640 is about 680.6464728651.

The spelling of 315329640 in words is "three hundred fifteen million, three hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1499 1753 2998 3506 4497 5259 5996 7012 7495 8765 8994 10518 11992 14024 14990 17530 17988 21036 22485 26295 29980 35060 35976 42072 44970 52590 59960 70120 89940 105180 179880 210360 2627747 5255494 7883241 10510988 13138735 15766482 21021976 26277470 31532964 39416205 52554940 63065928 78832410 105109880 157664820 315329640