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34325856 = 2534171941
BaseRepresentation
bin1000001011110…
…0010101100000
32101120221020000
42002330111200
532241411411
63223420000
7564523245
oct202742540
971527200
1034325856
1118415584
12b5b4600
13715ac76
1447b75cc
153030956
hex20bc560

34325856 has 240 divisors, whose sum is σ = 115259760. Its totient is φ = 9953280.

The previous prime is 34325833. The next prime is 34325861. The reversal of 34325856 is 65852343.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34325856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837196 + ... + 837236.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 234325856 is an apocalyptic number.

34325856 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 34325856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57629880).

34325856 is an abundant number, since it is smaller than the sum of its proper divisors (80933904).

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

34325856 is a wasteful number, since it uses less digits than its factorization.

34325856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 34325856 is about 5858.8271863915. The cubic root of 34325856 is about 324.9928392900.

The spelling of 34325856 in words is "thirty-four million, three hundred twenty-five thousand, eight hundred fifty-six".