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34894104 = 2337229907
BaseRepresentation
bin1000010100011…
…1000100011000
32102122210201020
42011013010120
532413102404
63243522440
7602411040
oct205070430
972583636
1034894104
1118773503
12b829420
1372c97cb
1448c4720
1530e3ed9
hex2147118

34894104 has 64 divisors (see below), whose sum is σ = 100243200. Its totient is φ = 9915264.

The previous prime is 34894103. The next prime is 34894129. The reversal of 34894104 is 40149843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34894103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38019 + ... + 38925.

It is an arithmetic number, because the mean of its divisors is an integer number (1566300).

Almost surely, 234894104 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 34894104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50121600).

34894104 is an abundant number, since it is smaller than the sum of its proper divisors (65349096).

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

34894104 is a wasteful number, since it uses less digits than its factorization.

34894104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 34894104 is about 5907.1231576801. The cubic root of 34894104 is about 326.7763998045.

The spelling of 34894104 in words is "thirty-four million, eight hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 907 916 1374 1603 1814 1832 2721 2748 3206 3628 4809 5442 5496 6349 6412 7256 9618 10884 12698 12824 19047 19236 21768 25396 38094 38472 50792 76188 152376 207703 415406 623109 830812 1246218 1453921 1661624 2492436 2907842 4361763 4984872 5815684 8723526 11631368 17447052 34894104