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34429158 = 23331131157
BaseRepresentation
bin1000001101010…
…1100011100110
32101210011221000
42003111203212
532303213113
63225534130
7565433361
oct203254346
971704830
1034429158
1118486155
12b644346
137195caa
1448030d8
153051373
hex20d58e6

34429158 has 64 divisors (see below), whose sum is σ = 80087040. Its totient is φ = 10951200.

The previous prime is 34429151. The next prime is 34429163. The reversal of 34429158 is 85192443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34429151) 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, 219216 + ... + 219372.

It is an arithmetic number, because the mean of its divisors is an integer number (1251360).

Almost surely, 234429158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34429158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40043520).

34429158 is an abundant number, since it is smaller than the sum of its proper divisors (45657882).

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

34429158 is a wasteful number, since it uses less digits than its factorization.

34429158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 34429158 is about 5867.6364918083. The cubic root of 34429158 is about 325.3185295247.

The spelling of 34429158 in words is "thirty-four million, four hundred twenty-nine thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 131 157 186 262 279 314 393 471 558 786 837 942 1179 1413 1674 2358 2826 3537 4061 4239 4867 7074 8122 8478 9734 12183 14601 20567 24366 29202 36549 41134 43803 61701 73098 87606 109647 123402 131409 185103 219294 262818 370206 555309 637577 1110618 1275154 1912731 3825462 5738193 11476386 17214579 34429158