Search a number
-
+
14779314 = 23311139179
BaseRepresentation
bin111000011000…
…001110110010
31000210212102000
4320120032302
512240414224
61244434430
7236423244
oct70301662
930725360
1014779314
118384a10
124b48a16
1330a6074
141d6a094
15146e0c9
hexe183b2

14779314 has 64 divisors (see below), whose sum is σ = 36288000. Its totient is φ = 4421520.

The previous prime is 14779279. The next prime is 14779319. The reversal of 14779314 is 41397741.

It is not an unprimeable number, because it can be changed into a prime (14779319) 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 31 ways as a sum of consecutive naturals, for example, 82477 + ... + 82655.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 214779314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14779314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144000).

14779314 is an abundant number, since it is smaller than the sum of its proper divisors (21508686).

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

14779314 is a wasteful number, since it uses less digits than its factorization.

14779314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 334 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 14779314 is about 3844.3873374050. The cubic root of 14779314 is about 245.4057638187.

The spelling of 14779314 in words is "fourteen million, seven hundred seventy-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 139 179 198 278 297 358 417 537 594 834 1074 1251 1529 1611 1969 2502 3058 3222 3753 3938 4587 4833 5907 7506 9174 9666 11814 13761 17721 24881 27522 35442 41283 49762 53163 74643 82566 106326 149286 223929 273691 447858 547382 671787 821073 1343574 1642146 2463219 4926438 7389657 14779314