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14301984 = 253197841
BaseRepresentation
bin110110100011…
…101100100000
3222220121122010
4312203230200
512130130414
61230312520
7232364514
oct66435440
928817563
1014301984
118089324
124958740
132c69a18
141c84144
1513c7959
hexda3b20

14301984 has 48 divisors (see below), whose sum is σ = 39523680. Its totient is φ = 4515840.

The previous prime is 14301983. The next prime is 14302031. The reversal of 14301984 is 48910341.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14301983) 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 7 ways as a sum of consecutive naturals, for example, 2097 + ... + 5744.

It is an arithmetic number, because the mean of its divisors is an integer number (823410).

Almost surely, 214301984 is an apocalyptic number.

It is an amenable number.

14301984 is an abundant number, since it is smaller than the sum of its proper divisors (25221696).

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

14301984 is a wasteful number, since it uses less digits than its factorization.

14301984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7873 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14301984 is about 3781.7963985387. The cubic root of 14301984 is about 242.7348290321.

The spelling of 14301984 in words is "fourteen million, three hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 7841 15682 23523 31364 47046 62728 94092 125456 148979 188184 250912 297958 376368 446937 595916 752736 893874 1191832 1787748 2383664 3575496 4767328 7150992 14301984