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34245904 = 2472112192
BaseRepresentation
bin1000001010100…
…0110100010000
32101102212112211
42002220310100
532231332104
63222001504
7564041200
oct202506420
971385484
1034245904
1118370500
12b576294
137130764
144796400
153016e04
hex20a8d10

34245904 has 135 divisors (see below), whose sum is σ = 89539191. Its totient is φ = 12640320.

The previous prime is 34245881. The next prime is 34245929. The reversal of 34245904 is 40954243.

It is a happy number.

The square root of 34245904 is 5852.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1802407 + ... + 1802425.

Almost surely, 234245904 is an apocalyptic number.

34245904 is the 5852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34245904

34245904 is an abundant number, since it is smaller than the sum of its proper divisors (55293287).

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

34245904 is a wasteful number, since it uses less digits than its factorization.

34245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 34245904 is about 324.7403180076.

The spelling of 34245904 in words is "thirty-four million, two hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 38 44 49 56 76 77 88 98 112 121 133 152 154 176 196 209 242 266 304 308 361 392 418 484 532 539 616 722 784 836 847 931 968 1064 1078 1232 1444 1463 1672 1694 1862 1936 2128 2156 2299 2527 2888 2926 3344 3388 3724 3971 4312 4598 5054 5776 5852 5929 6776 7448 7942 8624 9196 10108 10241 11704 11858 13552 14896 15884 16093 17689 18392 20216 20482 23408 23716 27797 31768 32186 35378 36784 40432 40964 43681 47432 55594 63536 64372 70756 81928 87362 94864 111188 112651 128744 141512 163856 174724 194579 222376 225302 257488 283024 305767 349448 389158 444752 450604 611534 698896 778316 901208 1223068 1556632 1802416 2140369 2446136 3113264 4280738 4892272 8561476 17122952 34245904