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14364328 = 23112347151
BaseRepresentation
bin110110110010…
…111010101000
31000000210011011
4312302322220
512134124303
61231513304
7233044336
oct66627250
930023134
1014364328
118121150
124988834
132c8c204
141c9cb56
1513db16d
hexdb2ea8

14364328 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 6072000.

The previous prime is 14364307. The next prime is 14364353. The reversal of 14364328 is 82346341.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14364328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95053 + ... + 95203.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 214364328 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 14364328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

14364328 is an abundant number, since it is smaller than the sum of its proper divisors (17154392).

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

14364328 is a wasteful number, since it uses less digits than its factorization.

14364328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 234 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 14364328 is about 3790.0300790363. The cubic root of 14364328 is about 243.0870208296.

The spelling of 14364328 in words is "fourteen million, three hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 22 23 44 46 47 88 92 94 151 184 188 253 302 376 506 517 604 1012 1034 1081 1208 1661 2024 2068 2162 3322 3473 4136 4324 6644 6946 7097 8648 11891 13288 13892 14194 23782 27784 28388 38203 47564 56776 76406 78067 95128 152812 156134 163231 305624 312268 326462 624536 652924 1305848 1795541 3591082 7182164 14364328