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34225037 = 7113741293
BaseRepresentation
bin1000001010001…
…1101110001101
32101101210220222
42002203232031
532230200122
63221321125
7563623310
oct202435615
971353828
1034225037
1118356860
12b5661a5
137124102
14478c977
153010b42
hex20a3b8d

34225037 has 32 divisors (see below), whose sum is σ = 45045504. Its totient is φ = 25228800.

The previous prime is 34225021. The next prime is 34225043. The reversal of 34225037 is 73052243.

It is a cyclic number.

It is not a de Polignac number, because 34225037 - 24 = 34225021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34224997 and 34225015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225057) 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, 116663 + ... + 116955.

It is an arithmetic number, because the mean of its divisors is an integer number (1407672).

Almost surely, 234225037 is an apocalyptic number.

34225037 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

34225037 is a deficient number, since it is larger than the sum of its proper divisors (10820467).

34225037 is a wasteful number, since it uses less digits than its factorization.

34225037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389.

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 34225037 is about 5850.2168335883. The cubic root of 34225037 is about 324.6743467795.

The spelling of 34225037 in words is "thirty-four million, two hundred twenty-five thousand, thirty-seven".

Divisors: 1 7 11 37 41 77 259 287 293 407 451 1517 2051 2849 3157 3223 10619 10841 12013 16687 22561 75887 84091 116809 119251 132143 444481 834757 925001 3111367 4889291 34225037