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316240512 = 27377
BaseRepresentation
bin10010110110010…
…111001010000000
3211001001200102120
4102312113022000
51121424144022
651214044240
710560000000
oct2266271200
9731050376
10316240512
111525671a5
1289aa9680
1350695c83
1430000000
151cb6ad5c
hex12d97280

316240512 has 128 divisors (see below), whose sum is σ = 980016000. Its totient is φ = 90354432.

The previous prime is 316240499. The next prime is 316240513. The reversal of 316240512 is 215042613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3162405122 = 200016122860044288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (316240513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45177213 + ... + 45177219.

It is an arithmetic number, because the mean of its divisors is an integer number (7656375).

Almost surely, 2316240512 is an apocalyptic number.

316240512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 316240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490008000).

316240512 is an abundant number, since it is smaller than the sum of its proper divisors (663775488).

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

316240512 is an frugal number, since it uses more digits than its factorization.

316240512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 316240512 is about 17783.1524764312. The cubic root of 316240512 is about 681.3012223977.

The spelling of 316240512 in words is "three hundred sixteen million, two hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2401 2688 2744 3136 4116 4704 4802 5488 6272 7203 8232 9408 9604 10976 14406 16464 16807 18816 19208 21952 28812 32928 33614 38416 43904 50421 57624 65856 67228 76832 100842 115248 117649 131712 134456 153664 201684 230496 235298 268912 307328 352947 403368 460992 470596 537824 705894 806736 823543 921984 941192 1075648 1411788 1613472 1647086 1882384 2151296 2470629 2823576 3226944 3294172 3764768 4941258 5647152 6453888 6588344 7529536 9882516 11294304 13176688 15059072 19765032 22588608 26353376 39530064 45177216 52706752 79060128 105413504 158120256 316240512