Search a number
-
+
14288376 = 2334753239
BaseRepresentation
bin110110100000…
…010111111000
3222212220222010
4312200113320
512124212001
61230125520
7232310034
oct66402770
928786863
1014288376
11807a083
1249508a0
132c6377b
141c7d1c4
1513c38d6
hexda05f8

14288376 has 64 divisors (see below), whose sum is σ = 37324800. Its totient is φ = 4554368.

The previous prime is 14288333. The next prime is 14288383. The reversal of 14288376 is 67388241.

14288376 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59665 + ... + 59903.

It is an arithmetic number, because the mean of its divisors is an integer number (583200).

Almost surely, 214288376 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 14288376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662400).

14288376 is an abundant number, since it is smaller than the sum of its proper divisors (23036424).

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

14288376 is a wasteful number, since it uses less digits than its factorization.

14288376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 14288376 is about 3779.9968253955. The cubic root of 14288376 is about 242.6578191168.

The spelling of 14288376 in words is "fourteen million, two hundred eighty-eight thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 239 282 318 376 424 478 564 636 717 956 1128 1272 1434 1912 2491 2868 4982 5736 7473 9964 11233 12667 14946 19928 22466 25334 29892 33699 38001 44932 50668 59784 67398 76002 89864 101336 134796 152004 269592 304008 595349 1190698 1786047 2381396 3572094 4762792 7144188 14288376