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14234952 = 2331923153
BaseRepresentation
bin110110010011…
…010101001000
3222210012200110
4312103111020
512121004302
61225034320
7231665214
oct66232510
928705613
1014234952
118042a26
1249259a0
132c45364
141c67944
1513b2b6c
hexd93548

14234952 has 96 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 4268160.

The previous prime is 14234951. The next prime is 14234977. The reversal of 14234952 is 25943241.

Its product of digits (8640) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (14234951) 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 23 ways as a sum of consecutive naturals, for example, 268558 + ... + 268610.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 214234952 is an apocalyptic number.

14234952 is a gapful number since it is divisible by the number (12) 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 14234952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

14234952 is an abundant number, since it is smaller than the sum of its proper divisors (25267128).

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

14234952 is a wasteful number, since it uses less digits than its factorization.

14234952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 14234952 is about 3772.9235348732. The cubic root of 14234952 is about 242.3550102215.

The spelling of 14234952 in words is "fourteen million, two hundred thirty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 53 57 62 76 93 106 114 124 152 159 186 212 228 248 318 361 372 424 456 589 636 722 744 1007 1083 1178 1272 1444 1643 1767 2014 2166 2356 2888 3021 3286 3534 4028 4332 4712 4929 6042 6572 7068 8056 8664 9858 11191 12084 13144 14136 19133 19716 22382 24168 31217 33573 38266 39432 44764 57399 62434 67146 76532 89528 93651 114798 124868 134292 153064 187302 229596 249736 268584 374604 459192 593123 749208 1186246 1779369 2372492 3558738 4744984 7117476 14234952