Search a number
-
+
315104544 = 25324723279
BaseRepresentation
bin10010110010000…
…001110100100000
3210221220222011200
4102302001310200
51121131321134
651133441200
710544226066
oct2262016440
9727828150
10315104544
11151960787
1289640200
1350388bc1
142dbc6036
151c9e4499
hex12c81d20

315104544 has 72 divisors (see below), whose sum is σ = 915183360. Its totient is φ = 102795648.

The previous prime is 315104513. The next prime is 315104561. The reversal of 315104544 is 445401513.

It is a happy number.

315104544 is a `hidden beast` number, since 3 + 15 + 104 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 1897 + ... + 25175.

It is an arithmetic number, because the mean of its divisors is an integer number (12710880).

Almost surely, 2315104544 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 315104544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457591680).

315104544 is an abundant number, since it is smaller than the sum of its proper divisors (600078816).

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

315104544 is a wasteful number, since it uses less digits than its factorization.

315104544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23342 (or 23331 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 315104544 is about 17751.1842985194. The cubic root of 315104544 is about 680.4844759686.

The spelling of 315104544 in words is "three hundred fifteen million, one hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 23279 46558 69837 93116 139674 186232 209511 279348 372464 419022 558696 744928 838044 1094113 1117392 1676088 2188226 2234784 3282339 3352176 4376452 6564678 6704352 8752904 9847017 13129356 17505808 19694034 26258712 35011616 39388068 52517424 78776136 105034848 157552272 315104544