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14309376 = 211317137
BaseRepresentation
bin110110100101…
…100000000000
3222220222202220
4312211200000
512130400001
61230411040
7232425204
oct66454000
928828686
1014309376
118093934
124960a80
132c701b3
141c86b04
1513c9c36
hexda5800

14309376 has 96 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 4456448.

The previous prime is 14309353. The next prime is 14309419. The reversal of 14309376 is 67390341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104380 + ... + 104516.

Almost surely, 214309376 is an apocalyptic number.

14309376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

14309376 is an abundant number, since it is smaller than the sum of its proper divisors (26378544).

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

14309376 is a wasteful number, since it uses less digits than its factorization.

14309376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 14309376 is about 3782.7735856115. The cubic root of 14309376 is about 242.7766411055.

The spelling of 14309376 in words is "fourteen million, three hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 137 192 204 256 272 274 384 408 411 512 544 548 768 816 822 1024 1088 1096 1536 1632 1644 2048 2176 2192 2329 3072 3264 3288 4352 4384 4658 6144 6528 6576 6987 8704 8768 9316 13056 13152 13974 17408 17536 18632 26112 26304 27948 34816 35072 37264 52224 52608 55896 70144 74528 104448 105216 111792 140288 149056 210432 223584 280576 298112 420864 447168 596224 841728 894336 1192448 1788672 2384896 3577344 4769792 7154688 14309376