Search a number
-
+
312563712 = 211350873
BaseRepresentation
bin10010101000010…
…101100000000000
3210210010212210210
4102220111200000
51120004014322
651003154120
710513514316
oct2250254000
9723125723
10312563712
1115048581a
1288815940
134c9a9556
142d7240b6
151c69170c
hex12a15800

312563712 has 48 divisors (see below), whose sum is σ = 833316120. Its totient is φ = 104185856.

The previous prime is 312563633. The next prime is 312563749. The reversal of 312563712 is 217365213.

312563712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 312563712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19293 + ... + 31580.

Almost surely, 2312563712 is an apocalyptic number.

312563712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312563712 is an abundant number, since it is smaller than the sum of its proper divisors (520752408).

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

312563712 is an equidigital number, since it uses as much as digits as its factorization.

312563712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50898 (or 50878 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 312563712 is about 17679.4714853131. The cubic root of 312563712 is about 678.6505186083.

The spelling of 312563712 in words is "three hundred twelve million, five hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 50873 101746 152619 203492 305238 406984 610476 813968 1220952 1627936 2441904 3255872 4883808 6511744 9767616 13023488 19535232 26046976 39070464 52093952 78140928 104187904 156281856 312563712