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904934340 = 223259751829
BaseRepresentation
bin110101111100000…
…011001111000100
32100001210102112200
4311330003033010
53323130344330
6225443514500
731265546352
oct6574031704
92301712480
10904934340
114248a2622
12213088a30
1311563360b
14882827d2
15546a3a60
hex35f033c4

904934340 has 72 divisors (see below), whose sum is σ = 2773319640. Its totient is φ = 238823424.

The previous prime is 904934339. The next prime is 904934363. The reversal of 904934340 is 43439409.

904934340 is a `hidden beast` number, since 90 + 493 + 43 + 40 = 666.

904934340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39162564 + 865771776 = 6258^2 + 29424^2 .

It is a super-2 number, since 2×9049343402 = 1637812319422471200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 904934295 and 904934304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8455 + ... + 43374.

Almost surely, 2904934340 is an apocalyptic number.

904934340 is a gapful number since it is divisible by the number (90) 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 904934340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386659820).

904934340 is an abundant number, since it is smaller than the sum of its proper divisors (1868385300).

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

904934340 is a wasteful number, since it uses less digits than its factorization.

904934340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51941 (or 51936 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 904934340 is about 30082.1265870616. The cubic root of 904934340 is about 967.2506338082.

The spelling of 904934340 in words is "nine hundred four million, nine hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 51829 103658 155487 207316 259145 310974 466461 518290 621948 777435 932922 1036580 1554870 1865844 2332305 3109740 4664610 5027413 9329220 10054826 15082239 20109652 25137065 30164478 45246717 50274130 60328956 75411195 90493434 100548260 150822390 180986868 226233585 301644780 452467170 904934340