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34094304 = 253339461
BaseRepresentation
bin1000001000001…
…1110011100000
32101011011121000
42002003303200
532212004204
63214432000
7562540206
oct202036340
971134530
1034094304
1118277612
12b502600
1370a975a
144757076
152ed7039
hex2083ce0

34094304 has 48 divisors (see below), whose sum is σ = 99444240. Its totient is φ = 11364480.

The previous prime is 34094297. The next prime is 34094351. The reversal of 34094304 is 40349043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18867 + ... + 20594.

It is an arithmetic number, because the mean of its divisors is an integer number (2071755).

Almost surely, 234094304 is an apocalyptic number.

It is an amenable number.

34094304 is an abundant number, since it is smaller than the sum of its proper divisors (65349936).

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

34094304 is a wasteful number, since it uses less digits than its factorization.

34094304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39480 (or 39466 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34094304 is about 5839.0327966197. The cubic root of 34094304 is about 324.2604216261.

The spelling of 34094304 in words is "thirty-four million, ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 39461 78922 118383 157844 236766 315688 355149 473532 631376 710298 947064 1065447 1262752 1420596 1894128 2130894 2841192 3788256 4261788 5682384 8523576 11364768 17047152 34094304