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34315086 = 23131632699
BaseRepresentation
bin1000001011100…
…1101101001110
32101120101110010
42002321231032
532241040321
63223254050
7564446661
oct202715516
971511403
1034315086
1118408483
12b5aa326
1371560b0
1447b36d8
15302c676
hex20b9b4e

34315086 has 32 divisors (see below), whose sum is σ = 74390400. Its totient is φ = 10489824.

The previous prime is 34315079. The next prime is 34315093. The reversal of 34315086 is 68051343.

34315086 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34315079) and next prime (34315093).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11365 + ... + 14063.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 234315086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34315086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37195200).

34315086 is an abundant number, since it is smaller than the sum of its proper divisors (40075314).

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

34315086 is a wasteful number, since it uses less digits than its factorization.

34315086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 34315086 is about 5857.9079883522. The cubic root of 34315086 is about 324.9588460711.

The spelling of 34315086 in words is "thirty-four million, three hundred fifteen thousand, eighty-six".

Divisors: 1 2 3 6 13 26 39 78 163 326 489 978 2119 2699 4238 5398 6357 8097 12714 16194 35087 70174 105261 210522 439937 879874 1319811 2639622 5719181 11438362 17157543 34315086