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34457568 = 2532912377
BaseRepresentation
bin1000001101110…
…0011111100000
32101211121220020
42003130133200
532310120233
63230313440
7565612245
oct203343740
971747806
1034457568
11184a5532
12b658880
1371a5bc2
14480d5cc
1530599b3
hex20dc7e0

34457568 has 48 divisors (see below), whose sum is σ = 93577680. Its totient is φ = 11088896.

The previous prime is 34457567. The next prime is 34457573. The reversal of 34457568 is 86575443.

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 (34457561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405 + ... + 8972.

It is an arithmetic number, because the mean of its divisors is an integer number (1949535).

Almost surely, 234457568 is an apocalyptic number.

It is an amenable number.

34457568 is an abundant number, since it is smaller than the sum of its proper divisors (59120112).

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

34457568 is a wasteful number, since it uses less digits than its factorization.

34457568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12411 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 34457568 is about 5870.0568992132. The cubic root of 34457568 is about 325.4079862426.

The spelling of 34457568 in words is "thirty-four million, four hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 12377 24754 37131 49508 74262 99016 148524 198032 297048 358933 396064 594096 717866 1076799 1188192 1435732 2153598 2871464 4307196 5742928 8614392 11485856 17228784 34457568