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34236137 = 1337109653
BaseRepresentation
bin1000001010011…
…0011011101001
32101102101011002
42002212123221
532231024022
63221444345
7564000545
oct202463351
971371132
1034236137
1118364131
12b5706b5
137129190
144792a25
153014092
hex20a66e9

34236137 has 16 divisors (see below), whose sum is σ = 38272080. Its totient is φ = 30419712.

The previous prime is 34236133. The next prime is 34236143. The reversal of 34236137 is 73163243.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1936 + 34234201 = 44^2 + 5851^2 .

It is a cyclic number.

It is not a de Polignac number, because 34236137 - 22 = 34236133 is a prime.

It is a super-2 number, since 2×342361372 = 2344226153365538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34236131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52103 + ... + 52755.

It is an arithmetic number, because the mean of its divisors is an integer number (2392005).

Almost surely, 234236137 is an apocalyptic number.

34236137 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34236137 is a deficient number, since it is larger than the sum of its proper divisors (4035943).

34236137 is a wasteful number, since it uses less digits than its factorization.

34236137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812.

The product of its digits is 9072, while the sum is 29.

The square root of 34236137 is about 5851.1654394659. The cubic root of 34236137 is about 324.7094428771.

The spelling of 34236137 in words is "thirty-four million, two hundred thirty-six thousand, one hundred thirty-seven".

Divisors: 1 13 37 109 481 653 1417 4033 8489 24161 52429 71177 314093 925301 2633549 34236137