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34627968 = 273230059
BaseRepresentation
bin1000010000011…
…0000110000000
32102011021122100
42010012012000
532331043333
63234110400
7600222114
oct204060600
972137570
1034627968
1118601561
12b71b400
13723562b
144855744
153090213
hex2106180

34627968 has 48 divisors (see below), whose sum is σ = 99648900. Its totient is φ = 11542272.

The previous prime is 34627927. The next prime is 34627969. The reversal of 34627968 is 86972643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34627969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13878 + ... + 16181.

Almost surely, 234627968 is an apocalyptic number.

It is an amenable number.

34627968 is an abundant number, since it is smaller than the sum of its proper divisors (65020932).

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

34627968 is a wasteful number, since it uses less digits than its factorization.

34627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30079 (or 30064 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 34627968 is about 5884.5533390394. The cubic root of 34627968 is about 325.9435083465.

The spelling of 34627968 in words is "thirty-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 30059 60118 90177 120236 180354 240472 270531 360708 480944 541062 721416 961888 1082124 1442832 1923776 2164248 2885664 3847552 4328496 5771328 8656992 11542656 17313984 34627968