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315714208 = 2517580357
BaseRepresentation
bin10010110100010…
…110101010100000
3211000001221110211
4102310112222200
51121310323313
651154503504
710552345405
oct2264265240
9730057424
10315714208
11152237837
1289894b94
1350540554
142dd042ac
151cab4e3d
hex12d16aa0

315714208 has 24 divisors (see below), whose sum is σ = 658125972. Its totient is φ = 148571136.

The previous prime is 315714197. The next prime is 315714221. The reversal of 315714208 is 802417513.

It can be written as a sum of positive squares in 2 ways, for example, as 301786384 + 13927824 = 17372^2 + 3732^2 .

It is a super-2 number, since 2×3157142082 = 199350922266134528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 315714208.

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, 289635 + ... + 290722.

Almost surely, 2315714208 is an apocalyptic number.

It is an amenable number.

315714208 is an abundant number, since it is smaller than the sum of its proper divisors (342411764).

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

315714208 is a wasteful number, since it uses less digits than its factorization.

315714208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580384 (or 580376 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 315714208 is about 17768.3484882529. The cubic root of 315714208 is about 680.9230601584.

It can be divided in two parts, 3157 and 14208, that multiplied together give a triangular number (44854656 = T9471).

The spelling of 315714208 in words is "three hundred fifteen million, seven hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 580357 1160714 2321428 4642856 9285712 9866069 18571424 19732138 39464276 78928552 157857104 315714208