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34050768 = 2433112281
BaseRepresentation
bin1000000111100…
…1001011010000
32101001221212120
42001321023100
532204111033
63213454240
7562266243
oct201711320
971057776
1034050768
1118247934
12b4a1380
1370929ab
14474525a
152ec91b3
hex20792d0

34050768 has 40 divisors (see below), whose sum is σ = 88286016. Its totient is φ = 11308800.

The previous prime is 34050761. The next prime is 34050773. The reversal of 34050768 is 86705043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34050761) 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, 13788 + ... + 16068.

Almost surely, 234050768 is an apocalyptic number.

It is an amenable number.

34050768 is an abundant number, since it is smaller than the sum of its proper divisors (54235248).

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

34050768 is a wasteful number, since it uses less digits than its factorization.

34050768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 34050768 is about 5835.3035910739. The cubic root of 34050768 is about 324.1223436763.

The spelling of 34050768 in words is "thirty-four million, fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 311 622 933 1244 1866 2281 2488 3732 4562 4976 6843 7464 9124 13686 14928 18248 27372 36496 54744 109488 709391 1418782 2128173 2837564 4256346 5675128 8512692 11350256 17025384 34050768