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14264328 = 23313131349
BaseRepresentation
bin110110011010…
…100000001000
3222211200222110
4312122200020
512122424303
61225422320
7232146651
oct66324010
928750873
1014264328
118063001
12493a9a0
132c55840
141c74528
1513bb703
hexd9a808

14264328 has 64 divisors (see below), whose sum is σ = 38808000. Its totient is φ = 4343040.

The previous prime is 14264321. The next prime is 14264333. The reversal of 14264328 is 82346241.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14264295 and 14264304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14264321) 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, 40698 + ... + 41046.

It is an arithmetic number, because the mean of its divisors is an integer number (606375).

Almost surely, 214264328 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 14264328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19404000).

14264328 is an abundant number, since it is smaller than the sum of its proper divisors (24543672).

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

14264328 is a wasteful number, since it uses less digits than its factorization.

14264328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 498 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14264328 is about 3776.8145307918. The cubic root of 14264328 is about 242.5216078808.

The spelling of 14264328 in words is "fourteen million, two hundred sixty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 262 312 349 393 524 698 786 1047 1048 1396 1572 1703 2094 2792 3144 3406 4188 4537 5109 6812 8376 9074 10218 13611 13624 18148 20436 27222 36296 40872 45719 54444 91438 108888 137157 182876 274314 365752 548628 594347 1097256 1188694 1783041 2377388 3566082 4754776 7132164 14264328