Search a number
-
+
13828344 = 2331733893
BaseRepresentation
bin110100110000…
…000011111000
3222000112220220
4310300003320
512020001334
61212220040
7225352605
oct64600370
928015826
1013828344
117895492
12476a620
132b3226a
141b9d6ac
151332449
hexd300f8

13828344 has 32 divisors (see below), whose sum is σ = 36605520. Its totient is φ = 4338176.

The previous prime is 13828303. The next prime is 13828349. The reversal of 13828344 is 44382831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16539 + ... + 17354.

Almost surely, 213828344 is an apocalyptic number.

It is an amenable number.

13828344 is an abundant number, since it is smaller than the sum of its proper divisors (22777176).

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

13828344 is a wasteful number, since it uses less digits than its factorization.

13828344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33919 (or 33915 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 13828344 is about 3718.6481414622. The cubic root of 13828344 is about 240.0251362562.

It can be divided in two parts, 138 and 28344, that added together give a palindrome (28482).

The spelling of 13828344 in words is "thirteen million, eight hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 33893 67786 101679 135572 203358 271144 406716 576181 813432 1152362 1728543 2304724 3457086 4609448 6914172 13828344