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34313844 = 22329151653
BaseRepresentation
bin1000001011100…
…1011001110100
32101120022202010
42002321121310
532241020334
63223244220
7564443235
oct202713164
971508663
1034313844
1118407554
12b5a9670
137155666
1447b308c
15302c0e9
hex20b9674

34313844 has 48 divisors (see below), whose sum is σ = 83502720. Its totient is φ = 10953600.

The previous prime is 34313819. The next prime is 34313863. The reversal of 34313844 is 44831343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52222 + ... + 52874.

It is an arithmetic number, because the mean of its divisors is an integer number (1739640).

Almost surely, 234313844 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 34313844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41751360).

34313844 is an abundant number, since it is smaller than the sum of its proper divisors (49188876).

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

34313844 is a wasteful number, since it uses less digits than its factorization.

34313844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 838 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34313844 is about 5857.8019768510. The cubic root of 34313844 is about 324.9549255043.

The spelling of 34313844 in words is "thirty-four million, three hundred thirteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 151 174 302 348 453 604 653 906 1306 1812 1959 2612 3918 4379 7836 8758 13137 17516 18937 26274 37874 52548 56811 75748 98603 113622 197206 227244 295809 394412 591618 1183236 2859487 5718974 8578461 11437948 17156922 34313844