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316210664 = 237112931571
BaseRepresentation
bin10010110110001…
…111110111101000
3211001000011111002
4102312033313220
51121422220124
651213254132
710556513660
oct2266176750
9731004432
10316210664
11152546830
1289a94348
1350685503
142ddd31a0
151cb620ae
hex12d8fde8

316210664 has 128 divisors (see below), whose sum is σ = 790732800. Its totient is φ = 114912000.

The previous prime is 316210637. The next prime is 316210703. The reversal of 316210664 is 466012613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 553499 + ... + 554069.

It is an arithmetic number, because the mean of its divisors is an integer number (6177600).

Almost surely, 2316210664 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 316210664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395366400).

316210664 is an abundant number, since it is smaller than the sum of its proper divisors (474522136).

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

316210664 is a wasteful number, since it uses less digits than its factorization.

316210664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 316210664 is about 17782.3132353471. The cubic root of 316210664 is about 681.2797871104.

The spelling of 316210664 in words is "three hundred sixteen million, two hundred ten thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 29 31 44 56 58 62 77 88 116 124 154 203 217 232 248 308 319 341 406 434 571 616 638 682 812 868 899 1142 1276 1364 1624 1736 1798 2233 2284 2387 2552 2728 3596 3997 4466 4568 4774 6281 6293 7192 7994 8932 9548 9889 12562 12586 15988 16559 17701 17864 19096 19778 25124 25172 31976 33118 35402 39556 43967 50248 50344 66236 69223 70804 79112 87934 115913 123907 132472 138446 141608 175868 182149 194711 231826 247814 276892 351736 364298 389422 463652 495628 513329 553784 728596 778844 927304 991256 1026658 1275043 1362977 1457192 1557688 2053316 2550086 2725954 3593303 4106632 5100172 5451908 5646619 7186606 10200344 10903816 11293238 14373212 22586476 28746424 39526333 45172952 79052666 158105332 316210664