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316992132 = 223217598779
BaseRepresentation
bin10010111001001…
…110101010000100
3211002110212110100
4102321032222010
51122122222012
651242124100
710566250212
oct2271165204
9732425410
10316992132
11152a2a976
128a1b0630
135089a112
1430157cb2
151cc688dc
hex12e4ea84

316992132 has 72 divisors (see below), whose sum is σ = 862898400. Its totient is φ = 97751808.

The previous prime is 316992121. The next prime is 316992133. The reversal of 316992132 is 231299613.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (316992133) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 31719 + ... + 40497.

It is an arithmetic number, because the mean of its divisors is an integer number (11984700).

Almost surely, 2316992132 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 316992132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431449200).

316992132 is an abundant number, since it is smaller than the sum of its proper divisors (545906268).

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

316992132 is a wasteful number, since it uses less digits than its factorization.

316992132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8865 (or 8860 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 316992132 is about 17804.2728579406. The cubic root of 316992132 is about 681.8405529048.

The spelling of 316992132 in words is "three hundred sixteen million, nine hundred ninety-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 59 68 102 118 153 177 204 236 306 354 531 612 708 1003 1062 2006 2124 3009 4012 6018 8779 9027 12036 17558 18054 26337 35116 36108 52674 79011 105348 149243 158022 298486 316044 447729 517961 596972 895458 1035922 1343187 1553883 1790916 2071844 2686374 3107766 4661649 5372748 6215532 8805337 9323298 17610674 18646596 26416011 35221348 52832022 79248033 105664044 158496066 316992132