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316264128 = 26347101347
BaseRepresentation
bin10010110110011…
…100111011000000
3211001002212211020
4102312130323000
51121430423003
651214345440
710560125565
oct2266347300
9731085736
10316264128
11152582a14
1289abb280
13506a394b
143000886c
151cb72d53
hex12d9cec0

316264128 has 112 divisors (see below), whose sum is σ = 865534464. Its totient is φ = 101862400.

The previous prime is 316264121. The next prime is 316264153. The reversal of 316264128 is 821462613.

316264128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (316264121) 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, 911251 + ... + 911597.

Almost surely, 2316264128 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 316264128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432767232).

316264128 is an abundant number, since it is smaller than the sum of its proper divisors (549270336).

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

316264128 is a wasteful number, since it uses less digits than its factorization.

316264128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 500 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 316264128 is about 17783.8164632904. The cubic root of 316264128 is about 681.3181812298.

The spelling of 316264128 in words is "three hundred sixteen million, two hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 101 141 188 192 202 282 303 347 376 404 564 606 694 752 808 1041 1128 1212 1388 1504 1616 2082 2256 2424 2776 3008 3232 4164 4512 4747 4848 5552 6464 8328 9024 9494 9696 11104 14241 16309 16656 18988 19392 22208 28482 32618 33312 35047 37976 48927 56964 65236 66624 70094 75952 97854 105141 113928 130472 140188 151904 195708 210282 227856 260944 280376 303808 391416 420564 455712 521888 560752 782832 841128 911424 1043776 1121504 1565664 1647209 1682256 2243008 3131328 3294418 3364512 4941627 6588836 6729024 9883254 13177672 19766508 26355344 39533016 52710688 79066032 105421376 158132064 316264128