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312727428 = 223213668221
BaseRepresentation
bin10010101000111…
…101011110000100
3210210110012101100
4102220331132010
51120024234203
651010500100
710515065526
oct2250753604
9723405340
10312727428
11150587822
1288894630
134ca35c20
142d767a16
151c6c4ea3
hex12a3d784

312727428 has 36 divisors (see below), whose sum is σ = 851314828. Its totient is φ = 96223680.

The previous prime is 312727417. The next prime is 312727447. The reversal of 312727428 is 824727213.

It can be written as a sum of positive squares in 2 ways, for example, as 189117504 + 123609924 = 13752^2 + 11118^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 312727392 and 312727401.

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, 333643 + ... + 334578.

Almost surely, 2312727428 is an apocalyptic number.

It is an amenable number.

312727428 is an abundant number, since it is smaller than the sum of its proper divisors (538587400).

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

312727428 is a wasteful number, since it uses less digits than its factorization.

312727428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668244 (or 668239 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 312727428 is about 17684.1009949615. The cubic root of 312727428 is about 678.7689867810.

The spelling of 312727428 in words is "three hundred twelve million, seven hundred twenty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 668221 1336442 2004663 2672884 4009326 6013989 8018652 8686873 12027978 17373746 24055956 26060619 34747492 52121238 78181857 104242476 156363714 312727428