Search a number
-
+
312480972 = 22328680027
BaseRepresentation
bin10010101000000…
…001010011001100
3210202222200022100
4102220001103030
51114443342342
651001315100
710513021146
oct2250012314
9722880270
10312480972
11150429641
1288795a90
134c97a9ab
142d701c96
151c676e4c
hex12a014cc

312480972 has 18 divisors (see below), whose sum is σ = 789882548. Its totient is φ = 104160312.

The previous prime is 312480937. The next prime is 312480983. The reversal of 312480972 is 279084213.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8680027 = 312480972 / (3 + 1 + 2 + 4 + 8 + 0 + 9 + 7 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4339978 + ... + 4340049.

Almost surely, 2312480972 is an apocalyptic number.

It is an amenable number.

312480972 is an abundant number, since it is smaller than the sum of its proper divisors (477401576).

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

312480972 is a wasteful number, since it uses less digits than its factorization.

312480972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8680037 (or 8680032 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 312480972 is about 17677.1313283576. The cubic root of 312480972 is about 678.5906305523.

The spelling of 312480972 in words is "three hundred twelve million, four hundred eighty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 8680027 17360054 26040081 34720108 52080162 78120243 104160324 156240486 312480972