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14969344 = 29132173
BaseRepresentation
bin111001000110…
…101000000000
31001011112002011
4321012220000
512313004334
61252502304
7241144255
oct71065000
931145064
1014969344
1184a4765
12501a994
133141700
141db942c
1514aa564
hexe46a00

14969344 has 60 divisors (see below), whose sum is σ = 32574366. Its totient is φ = 6868992.

The previous prime is 14969329. The next prime is 14969351. The reversal of 14969344 is 44396941.

It can be written as a sum of positive squares in 3 ways, for example, as 10969344 + 4000000 = 3312^2 + 2000^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14969297 and 14969306.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86442 + ... + 86614.

Almost surely, 214969344 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 14969344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16287183).

14969344 is an abundant number, since it is smaller than the sum of its proper divisors (17605022).

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

14969344 is an equidigital number, since it uses as much as digits as its factorization.

14969344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 188 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 14969344 is about 3869.0236494496. The cubic root of 14969344 is about 246.4530835200.

The spelling of 14969344 in words is "fourteen million, nine hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 173 208 256 338 346 416 512 676 692 832 1352 1384 1664 2249 2704 2768 3328 4498 5408 5536 6656 8996 10816 11072 17992 21632 22144 29237 35984 43264 44288 58474 71968 86528 88576 116948 143936 233896 287872 467792 575744 935584 1151488 1871168 3742336 7484672 14969344