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316295424 = 28321071283
BaseRepresentation
bin10010110110100…
…100100100000000
3211001011110202100
4102312210210000
51121432423144
651215150400
710560316044
oct2266444400
9731143670
10316295424
111525a4485
1289b15400
13506b4c73
1430016024
151cb7c269
hex12da4900

316295424 has 108 divisors (see below), whose sum is σ = 921198096. Its totient is φ = 104365056.

The previous prime is 316295417. The next prime is 316295459. The reversal of 316295424 is 424592613.

It is a happy number.

316295424 is a `hidden beast` number, since 3 + 1 + 629 + 5 + 4 + 24 = 666.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245887 + ... + 247169.

It is an arithmetic number, because the mean of its divisors is an integer number (8529612).

Almost surely, 2316295424 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 316295424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460599048).

316295424 is an abundant number, since it is smaller than the sum of its proper divisors (604902672).

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

316295424 is a wasteful number, since it uses less digits than its factorization.

316295424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1395 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 316295424 is about 17784.6963426425. The cubic root of 316295424 is about 681.3406538285.

The spelling of 316295424 in words is "three hundred sixteen million, two hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 576 642 768 856 963 1152 1283 1284 1712 1926 2304 2566 2568 3424 3849 3852 5132 5136 6848 7698 7704 10264 10272 11547 13696 15396 15408 20528 20544 23094 27392 30792 30816 41056 41088 46188 61584 61632 82112 82176 92376 123168 123264 137281 164224 184752 246336 246528 274562 328448 369504 411843 492672 549124 739008 823686 985344 1098248 1235529 1478016 1647372 2196496 2471058 2956032 3294744 4392992 4942116 6589488 8785984 9884232 13178976 17571968 19768464 26357952 35143936 39536928 52715904 79073856 105431808 158147712 316295424