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14299376 = 2472132361
BaseRepresentation
bin110110100011…
…000011110000
3222220111001112
4312203003300
512130040001
61230252452
7232354100
oct66430360
928814045
1014299376
118087373
124957128
132c68790
141c83200
1513c6cbb
hexda30f0

14299376 has 120 divisors (see below), whose sum is σ = 36810144. Its totient is φ = 5322240.

The previous prime is 14299367. The next prime is 14299379. The reversal of 14299376 is 67399241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14299379) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 234386 + ... + 234446.

Almost surely, 214299376 is an apocalyptic number.

14299376 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 14299376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18405072).

14299376 is an abundant number, since it is smaller than the sum of its proper divisors (22510768).

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

14299376 is a wasteful number, since it uses less digits than its factorization.

14299376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 106 counting only the distinct ones).

The product of its digits is 81648, while the sum is 41.

The square root of 14299376 is about 3781.4515731396. The cubic root of 14299376 is about 242.7200737152.

The spelling of 14299376 in words is "fourteen million, two hundred ninety-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 61 91 92 98 104 112 122 161 182 184 196 208 244 299 322 364 368 392 427 488 598 637 644 728 784 793 854 976 1127 1196 1274 1288 1403 1456 1586 1708 2093 2254 2392 2548 2576 2806 2989 3172 3416 4186 4508 4784 5096 5551 5612 5978 6344 6832 8372 9016 9821 10192 11102 11224 11956 12688 14651 16744 18032 18239 19642 22204 22448 23912 29302 33488 36478 38857 39284 44408 47824 58604 68747 72956 77714 78568 88816 117208 127673 137494 145912 155428 157136 234416 255346 274988 291824 310856 510692 549976 621712 893711 1021384 1099952 1787422 2042768 3574844 7149688 14299376