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34013770 = 25717101283
BaseRepresentation
bin1000000111000…
…0001001001010
32101000002010021
42001300021022
532201420040
63213011054
7562053340
oct201601112
971002107
1034013770
111822205a
12b483a8a
13707bbbb
144735990
152ebd24a
hex207024a

34013770 has 64 divisors (see below), whose sum is σ = 75085056. Its totient is φ = 10828800.

The previous prime is 34013737. The next prime is 34013773. The reversal of 34013770 is 7731043.

It is a happy number.

It is a super-2 number, since 2×340137702 = 2313873099225800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34013773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120049 + ... + 120331.

It is an arithmetic number, because the mean of its divisors is an integer number (1173204).

Almost surely, 234013770 is an apocalyptic number.

34013770 is an abundant number, since it is smaller than the sum of its proper divisors (41071286).

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

34013770 is a wasteful number, since it uses less digits than its factorization.

34013770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415.

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 34013770 is about 5832.1325430755. The cubic root of 34013770 is about 324.0049089842.

The spelling of 34013770 in words is "thirty-four million, thirteen thousand, seven hundred seventy".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 101 119 170 202 238 283 505 566 595 707 1010 1190 1414 1415 1717 1981 2830 3434 3535 3962 4811 7070 8585 9622 9905 12019 17170 19810 24038 24055 28583 33677 48110 57166 60095 67354 120190 142915 168385 200081 285830 336770 400162 485911 971822 1000405 2000810 2429555 3401377 4859110 6802754 17006885 34013770