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14023464 = 2337136421
BaseRepresentation
bin110101011111…
…101100101000
3222101110120120
4311133230220
512042222324
61220323240
7230124510
oct65375450
928343516
1014023464
117a09044
124843520
132ba0010
141c10840
151370179
hexd5fb28

14023464 has 64 divisors (see below), whose sum is σ = 43155840. Its totient is φ = 3697920.

The previous prime is 14023441. The next prime is 14023469. The reversal of 14023464 is 46432041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14023469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1027 + ... + 5394.

It is an arithmetic number, because the mean of its divisors is an integer number (674310).

Almost surely, 214023464 is an apocalyptic number.

14023464 is a gapful number since it is divisible by the number (14) 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 14023464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21577920).

14023464 is an abundant number, since it is smaller than the sum of its proper divisors (29132376).

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

14023464 is a wasteful number, since it uses less digits than its factorization.

14023464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6450 (or 6446 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 14023464 is about 3744.7915829856. The cubic root of 14023464 is about 241.1487978794.

Subtracting from 14023464 its product of nonzero digits (2304), we obtain a triangular number (14021160 = T5295).

The spelling of 14023464 in words is "fourteen million, twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6421 12842 19263 25684 38526 44947 51368 77052 83473 89894 134841 154104 166946 179788 250419 269682 333892 359576 500838 539364 584311 667784 1001676 1078728 1168622 1752933 2003352 2337244 3505866 4674488 7011732 14023464