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34034094 = 23731251
BaseRepresentation
bin1000000111010…
…1000110101110
32101001010000000
42001311012232
532203042334
63213245130
7562166523
oct201650656
971033000
1034034094
1118236356
12b4937a6
137088223
14473d14a
152ec4299
hex20751ae

34034094 has 64 divisors (see below), whose sum is σ = 79349760. Its totient is φ = 10935000.

The previous prime is 34034087. The next prime is 34034129. The reversal of 34034094 is 49043043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135469 + ... + 135719.

It is an arithmetic number, because the mean of its divisors is an integer number (1239840).

Almost surely, 234034094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34034094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39674880).

34034094 is an abundant number, since it is smaller than the sum of its proper divisors (45315666).

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

34034094 is an equidigital number, since it uses as much as digits as its factorization.

34034094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34034094 is about 5833.8746986887. The cubic root of 34034094 is about 324.0694295654.

The spelling of 34034094 in words is "thirty-four million, thirty-four thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 251 279 486 502 558 729 753 837 1458 1506 1674 2187 2259 2511 4374 4518 5022 6777 7533 7781 13554 15066 15562 20331 22599 23343 40662 45198 46686 60993 67797 70029 121986 135594 140058 182979 210087 365958 420174 548937 630261 1097874 1260522 1890783 3781566 5672349 11344698 17017047 34034094