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34441264 = 24111315053
BaseRepresentation
bin1000001101100…
…0100000110000
32101210210112101
42003120200300
532304110024
63230110144
7565513564
oct203304060
971723471
1034441264
1118494260
12b64b354
13719b660
1448076a4
153054c44
hex20d8830

34441264 has 40 divisors (see below), whose sum is σ = 78401232. Its totient is φ = 14449920.

The previous prime is 34441261. The next prime is 34441273. The reversal of 34441264 is 46214443.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34441261) 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, 5239 + ... + 9814.

Almost surely, 234441264 is an apocalyptic number.

It is an amenable number.

34441264 is an abundant number, since it is smaller than the sum of its proper divisors (43959968).

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

34441264 is a wasteful number, since it uses less digits than its factorization.

34441264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15085 (or 15079 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 34441264 is about 5868.6679919723. The cubic root of 34441264 is about 325.3566546183.

The spelling of 34441264 in words is "thirty-four million, four hundred forty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 15053 30106 60212 120424 165583 195689 240848 331166 391378 662332 782756 1324664 1565512 2152579 2649328 3131024 4305158 8610316 17220632 34441264