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34396100 = 22521720233
BaseRepresentation
bin1000001100110…
…1011111000100
32101201111120122
42003031133010
532301133400
63225121112
7565235114
oct203153704
971644518
1034396100
1118463332
12b629198
137183c2b
1447d5044
153046685
hex20cd7c4

34396100 has 36 divisors (see below), whose sum is σ = 79034004. Its totient is φ = 12948480.

The previous prime is 34396093. The next prime is 34396111. The reversal of 34396100 is 169343.

It can be written as a sum of positive squares in 6 ways, for example, as 9604 + 34386496 = 98^2 + 5864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34396100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8417 + ... + 11816.

It is an arithmetic number, because the mean of its divisors is an integer number (2195389).

Almost surely, 234396100 is an apocalyptic number.

It is an amenable number.

34396100 is an abundant number, since it is smaller than the sum of its proper divisors (44637904).

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

34396100 is a wasteful number, since it uses less digits than its factorization.

34396100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20264 (or 20257 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 34396100 is about 5864.8188377818. The cubic root of 34396100 is about 325.2143753287.

The spelling of 34396100 in words is "thirty-four million, three hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 20233 40466 80932 101165 202330 343961 404660 505825 687922 1011650 1375844 1719805 2023300 3439610 6879220 8599025 17198050 34396100