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34982856 = 2332975009
BaseRepresentation
bin1000010101110…
…0101111001000
32102211022110100
42011130233020
532423422411
63245445400
7603230556
oct205345710
972738410
1034982856
1118824157
12b870860
13732b01c
144908bd6
153110456
hex215cbc8

34982856 has 48 divisors (see below), whose sum is σ = 95741100. Its totient is φ = 11538432.

The previous prime is 34982851. The next prime is 34982863. The reversal of 34982856 is 65828943.

It can be written as a sum of positive squares in 2 ways, for example, as 34928100 + 54756 = 5910^2 + 234^2 .

It is not an unprimeable number, because it can be changed into a prime (34982851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4480 + ... + 9488.

Almost surely, 234982856 is an apocalyptic number.

34982856 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 34982856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47870550).

34982856 is an abundant number, since it is smaller than the sum of its proper divisors (60758244).

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

34982856 is a wasteful number, since it uses less digits than its factorization.

34982856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 5111 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 34982856 is about 5914.6306731697. The cubic root of 34982856 is about 327.0532135715.

The spelling of 34982856 in words is "thirty-four million, nine hundred eighty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 582 776 873 1164 1746 2328 3492 5009 6984 10018 15027 20036 30054 40072 45081 60108 90162 120216 180324 360648 485873 971746 1457619 1943492 2915238 3886984 4372857 5830476 8745714 11660952 17491428 34982856