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34244856 = 2334431229
BaseRepresentation
bin1000001010100…
…0100011111000
32101102211010000
42002220203320
532231313411
63221553000
7564035142
oct202504370
971384100
1034244856
111836a738
12b575760
137130139
144795c92
153016956
hex20a88f8

34244856 has 80 divisors (see below), whose sum is σ = 98227800. Its totient is φ = 11140416.

The previous prime is 34244843. The next prime is 34244867. The reversal of 34244856 is 65844243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34244856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27250 + ... + 28478.

Almost surely, 234244856 is an apocalyptic number.

34244856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34244856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49113900).

34244856 is an abundant number, since it is smaller than the sum of its proper divisors (63982944).

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

34244856 is a wasteful number, since it uses less digits than its factorization.

34244856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1277 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 34244856 is about 5851.9104572780. The cubic root of 34244856 is about 324.7370053844.

The spelling of 34244856 in words is "thirty-four million, two hundred forty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 258 324 344 387 516 648 774 1032 1161 1229 1548 2322 2458 3096 3483 3687 4644 4916 6966 7374 9288 9832 11061 13932 14748 22122 27864 29496 33183 44244 52847 66366 88488 99549 105694 132732 158541 199098 211388 265464 317082 398196 422776 475623 634164 796392 951246 1268328 1426869 1902492 2853738 3804984 4280607 5707476 8561214 11414952 17122428 34244856