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14234880 = 283511337
BaseRepresentation
bin110110010011…
…010100000000
3222210012120210
4312103110000
512121004010
61225034120
7231665052
oct66232400
928705523
1014234880
118042970
124925940
132c4530a
141c678d2
1513b2b20
hexd93500

14234880 has 144 divisors (see below), whose sum is σ = 49742784. Its totient is φ = 3440640.

The previous prime is 14234873. The next prime is 14234893. The reversal of 14234880 is 8843241.

It is a super-2 number, since 2×142348802 = 405263617228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42072 + ... + 42408.

It is an arithmetic number, because the mean of its divisors is an integer number (345436).

Almost surely, 214234880 is an apocalyptic number.

14234880 is a gapful number since it is divisible by the number (10) 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 14234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24871392).

14234880 is an abundant number, since it is smaller than the sum of its proper divisors (35507904).

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

14234880 is a wasteful number, since it uses less digits than its factorization.

14234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 14234880 is about 3772.9139931888. The cubic root of 14234880 is about 242.3546016125.

The spelling of 14234880 in words is "fourteen million, two hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 337 352 384 440 480 528 640 660 674 704 768 880 960 1011 1056 1280 1320 1348 1408 1685 1760 1920 2022 2112 2640 2696 2816 3370 3520 3707 3840 4044 4224 5055 5280 5392 6740 7040 7414 8088 8448 10110 10560 10784 11121 13480 14080 14828 16176 18535 20220 21120 21568 22242 26960 29656 32352 37070 40440 42240 43136 44484 53920 55605 59312 64704 74140 80880 86272 88968 107840 111210 118624 129408 148280 161760 177936 215680 222420 237248 258816 296560 323520 355872 431360 444840 474496 593120 647040 711744 889680 948992 1186240 1294080 1423488 1779360 2372480 2846976 3558720 4744960 7117440 14234880