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312213040 = 24523169681
BaseRepresentation
bin10010100110111…
…111111000110000
3210202111001202221
4102212333320300
51114411304130
650551450424
710510524046
oct2246777060
9722431687
10312213040
11150266307
1288686a14
134c8b5a59
142d672396
151c62287a
hex129bfe30

312213040 has 40 divisors (see below), whose sum is σ = 757460448. Its totient is φ = 119454720.

The previous prime is 312213029. The next prime is 312213047. The reversal of 312213040 is 40312213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (312213047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83001 + ... + 86680.

Almost surely, 2312213040 is an apocalyptic number.

It is an amenable number.

312213040 is an abundant number, since it is smaller than the sum of its proper divisors (445247408).

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

312213040 is a wasteful number, since it uses less digits than its factorization.

312213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169717 (or 169711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312213040 is about 17669.5512110523. The cubic root of 312213040 is about 678.3966260623.

Adding to 312213040 its reverse (40312213), we get a palindrome (352525253).

The spelling of 312213040 in words is "three hundred twelve million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 169681 339362 678724 848405 1357448 1696810 2714896 3393620 3902663 6787240 7805326 13574480 15610652 19513315 31221304 39026630 62442608 78053260 156106520 312213040