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312173472 = 25313318069
BaseRepresentation
bin10010100110110…
…110001110100000
3210202102001111110
4102212312032200
51114404022342
650550543320
710510300512
oct2246661640
9722361443
10312173472
11150239606
1288667b40
134c8a0a40
142d661bb2
151c615c9c
hex129b63a0

312173472 has 96 divisors (see below), whose sum is σ = 911070720. Its totient is φ = 92943360.

The previous prime is 312173453. The next prime is 312173473. The reversal of 312173472 is 274371213.

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

It is not an unprimeable number, because it can be changed into a prime (312173473) 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 15 ways as a sum of consecutive naturals, for example, 34654 + ... + 42722.

It is an arithmetic number, because the mean of its divisors is an integer number (9490320).

Almost surely, 2312173472 is an apocalyptic number.

312173472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312173472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455535360).

312173472 is an abundant number, since it is smaller than the sum of its proper divisors (598897248).

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

312173472 is a wasteful number, since it uses less digits than its factorization.

312173472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8118 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 312173472 is about 17668.4315093332. The cubic root of 312173472 is about 678.3679662176.

The spelling of 312173472 in words is "three hundred twelve million, one hundred seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 8069 9672 12896 16138 19344 24207 32276 38688 48414 64552 96828 104897 129104 193656 209794 250139 258208 314691 387312 419588 500278 629382 750417 774624 839176 1000556 1258764 1500834 1678352 2001112 2517528 3001668 3251807 3356704 4002224 5035056 6003336 6503614 8004448 9755421 10070112 12006672 13007228 19510842 24013344 26014456 39021684 52028912 78043368 104057824 156086736 312173472