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34520704 = 27372197
BaseRepresentation
bin1000001110101…
…1111010000000
32101221211111121
42003223322000
532314130304
63231522024
7566264311
oct203537200
971854447
1034520704
1118538a09
12b689314
1371c886a
144828608
15306d554
hex20ebe80

34520704 has 48 divisors (see below), whose sum is σ = 71039430. Its totient is φ = 16708608.

The previous prime is 34520699. The next prime is 34520713. The reversal of 34520704 is 40702543.

It can be written as a sum of positive squares in 3 ways, for example, as 29680704 + 4840000 = 5448^2 + 2200^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 175134 + ... + 175330.

Almost surely, 234520704 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 34520704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35519715).

34520704 is an abundant number, since it is smaller than the sum of its proper divisors (36518726).

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

34520704 is an equidigital number, since it uses as much as digits as its factorization.

34520704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 34520704 is about 5875.4322394186. The cubic root of 34520704 is about 325.6066114360.

The spelling of 34520704 in words is "thirty-four million, five hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 197 296 394 592 788 1184 1369 1576 2368 2738 3152 4736 5476 6304 7289 10952 12608 14578 21904 25216 29156 43808 58312 87616 116624 175232 233248 269693 466496 539386 932992 1078772 2157544 4315088 8630176 17260352 34520704