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315064404 = 22345691709
BaseRepresentation
bin10010110001111…
…000000001010100
3210221211221010000
4102301320001110
51121124030104
651132531300
710544001054
oct2261700124
9727757100
10315064404
11151933606
1289620b30
1350373855
142dbb5564
151c9d7639
hex12c78054

315064404 has 60 divisors (see below), whose sum is σ = 825570900. Its totient is φ = 104775552.

The previous prime is 315064339. The next prime is 315064427. The reversal of 315064404 is 404460513.

315064404 is a `hidden beast` number, since 3 + 15 + 0 + 644 + 0 + 4 = 666.

315064404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 55532304 + 259532100 = 7452^2 + 16110^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183502 + ... + 185210.

It is an arithmetic number, because the mean of its divisors is an integer number (13759515).

Almost surely, 2315064404 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 315064404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412785450).

315064404 is an abundant number, since it is smaller than the sum of its proper divisors (510506496).

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

315064404 is a wasteful number, since it uses less digits than its factorization.

315064404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 315064404 is about 17750.0536337218. The cubic root of 315064404 is about 680.4555799432.

The spelling of 315064404 in words is "three hundred fifteen million, sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 569 1138 1707 1709 2276 3414 3418 5121 5127 6828 6836 10242 10254 15363 15381 20484 20508 30726 30762 46089 46143 61452 61524 92178 92286 138429 184356 184572 276858 553716 972421 1944842 2917263 3889684 5834526 8751789 11669052 17503578 26255367 35007156 52510734 78766101 105021468 157532202 315064404