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316064272 = 24172292357
BaseRepresentation
bin10010110101101…
…100001000010000
3211000201201200011
4102311230020100
51121403024042
651210204304
710555334116
oct2265541020
9730651604
10316064272
11152456847
1289a23694
13506339a4
142dd95ab6
151cb33a17
hex12d6c210

316064272 has 60 divisors (see below), whose sum is σ = 673232580. Its totient is φ = 143546368.

The previous prime is 316064263. The next prime is 316064279. The reversal of 316064272 is 272460613.

It can be written as a sum of positive squares in 6 ways, for example, as 5740816 + 310323456 = 2396^2 + 17616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (316064279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132918 + ... + 135274.

It is an arithmetic number, because the mean of its divisors is an integer number (11220543).

Almost surely, 2316064272 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 316064272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336616290).

316064272 is an abundant number, since it is smaller than the sum of its proper divisors (357168308).

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

316064272 is a wasteful number, since it uses less digits than its factorization.

316064272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 316064272 is about 17778.1965339570. The cubic root of 316064272 is about 681.1746364237.

The spelling of 316064272 in words is "three hundred sixteen million, sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 289 464 493 578 986 1156 1972 2312 2357 3944 4624 4714 7888 8381 9428 16762 18856 33524 37712 40069 67048 68353 80138 134096 136706 160276 273412 320552 546824 641104 681173 1093648 1162001 1362346 2324002 2724692 4648004 5449384 9296008 10898768 18592016 19754017 39508034 79016068 158032136 316064272