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14290368 = 263263283
BaseRepresentation
bin110110100000…
…110111000000
3222220000200220
4312200313000
512124242433
61230143040
7232315611
oct66406700
928800626
1014290368
118080624
124951a80
132c64651
141c7dc08
1513c42b3
hexda0dc0

14290368 has 56 divisors (see below), whose sum is σ = 38087808. Its totient is φ = 4728576.

The previous prime is 14290361. The next prime is 14290369. The reversal of 14290368 is 86309241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14290361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50355 + ... + 50637.

Almost surely, 214290368 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 14290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19043904).

14290368 is an abundant number, since it is smaller than the sum of its proper divisors (23797440).

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

14290368 is a wasteful number, since it uses less digits than its factorization.

14290368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 14290368 is about 3780.2603084973. The cubic root of 14290368 is about 242.6690952272.

The spelling of 14290368 in words is "fourteen million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 263 283 526 566 789 849 1052 1132 1578 1698 2104 2264 3156 3396 4208 4528 6312 6792 8416 9056 12624 13584 16832 18112 25248 27168 50496 54336 74429 148858 223287 297716 446574 595432 893148 1190864 1786296 2381728 3572592 4763456 7145184 14290368