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34055860 = 2252971827
BaseRepresentation
bin1000000111101…
…0011010110100
32101002012212011
42001322122310
532204241420
63213534004
7562320136
oct201723264
971065764
1034055860
1118250743
12b4a4304
1370950c7
144747056
152eca95a
hex207a6b4

34055860 has 48 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 12951680.

The previous prime is 34055843. The next prime is 34055863. The reversal of 34055860 is 6855043.

34055860 = T9 + T10 + ... + T588.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34055863) 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, 40767 + ... + 41593.

It is an arithmetic number, because the mean of its divisors is an integer number (1564920).

Almost surely, 234055860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34055860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

34055860 is an abundant number, since it is smaller than the sum of its proper divisors (41060300).

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

34055860 is a wasteful number, since it uses less digits than its factorization.

34055860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 34055860 is about 5835.7398845391. The cubic root of 34055860 is about 324.1384994422.

The spelling of 34055860 in words is "thirty-four million, fifty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 29 58 71 116 142 145 284 290 355 580 710 827 1420 1654 2059 3308 4118 4135 8236 8270 10295 16540 20590 23983 41180 47966 58717 95932 117434 119915 234868 239830 293585 479660 587170 1174340 1702793 3405586 6811172 8513965 17027930 34055860