Search a number
-
+
316584096 = 253101103317
BaseRepresentation
bin10010110111101…
…011000010100000
3211001201010201220
4102313223002200
51122021142341
651225255040
710562630463
oct2267530240
9731633656
10316584096
11152781354
128a034480
135078648a
143008d2da
151cbd7a66
hex12deb0a0

316584096 has 96 divisors (see below), whose sum is σ = 850082688. Its totient is φ = 103142400.

The previous prime is 316584067. The next prime is 316584113. The reversal of 316584096 is 690485613.

It is a tau number, because it is divible by the number of its divisors (96).

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, 998530 + ... + 998846.

It is an arithmetic number, because the mean of its divisors is an integer number (8855028).

Almost surely, 2316584096 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 316584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425041344).

316584096 is an abundant number, since it is smaller than the sum of its proper divisors (533498592).

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

316584096 is a wasteful number, since it uses less digits than its factorization.

316584096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 316584096 is about 17792.8102333499. The cubic root of 316584096 is about 681.5478695611.

The spelling of 316584096 in words is "three hundred sixteen million, five hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 103 202 206 303 309 317 404 412 606 618 634 808 824 951 1212 1236 1268 1616 1648 1902 2424 2472 2536 3232 3296 3804 4848 4944 5072 7608 9696 9888 10144 10403 15216 20806 30432 31209 32017 32651 41612 62418 64034 65302 83224 96051 97953 124836 128068 130604 166448 192102 195906 249672 256136 261208 332896 384204 391812 499344 512272 522416 768408 783624 998688 1024544 1044832 1536816 1567248 3073632 3134496 3297751 6595502 9893253 13191004 19786506 26382008 39573012 52764016 79146024 105528032 158292048 316584096