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315625340 = 225192273659
BaseRepresentation
bin10010110100000…
…000111101111100
3210222220102120102
4102310000331330
51121300002330
651152540232
710551525332
oct2264007574
9728812512
10315625340
11152186a98
1289851678
135050bc74
142dcbdb52
151ca98945
hex12d00f7c

315625340 has 48 divisors (see below), whose sum is σ = 700963200. Its totient is φ = 119045952.

The previous prime is 315625337. The next prime is 315625361. The reversal of 315625340 is 43526513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84431 + ... + 88089.

It is an arithmetic number, because the mean of its divisors is an integer number (14603400).

Almost surely, 2315625340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315625340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350481600).

315625340 is an abundant number, since it is smaller than the sum of its proper divisors (385337860).

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

315625340 is a wasteful number, since it uses less digits than its factorization.

315625340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 315625340 is about 17765.8475733639. The cubic root of 315625340 is about 680.8591648722.

The spelling of 315625340 in words is "three hundred fifteen million, six hundred twenty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 227 380 454 908 1135 2270 3659 4313 4540 7318 8626 14636 17252 18295 21565 36590 43130 69521 73180 86260 139042 278084 347605 695210 830593 1390420 1661186 3322372 4152965 8305930 15781267 16611860 31562534 63125068 78906335 157812670 315625340