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34240900 = 2252437963
BaseRepresentation
bin1000001010011…
…1100110000100
32101102121200111
42002213212010
532231202100
63221522404
7564020461
oct202474604
971377614
1034240900
1118367771
12b573404
13712b3b5
144794668
1530156ba
hex20a7984

34240900 has 36 divisors (see below), whose sum is σ = 76040272. Its totient is φ = 13376160.

The previous prime is 34240897. The next prime is 34240901. The reversal of 34240900 is 904243.

It is not an unprimeable number, because it can be changed into a prime (34240901) 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, 319 + ... + 8281.

Almost surely, 234240900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34240900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38020136).

34240900 is an abundant number, since it is smaller than the sum of its proper divisors (41799372).

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

34240900 is a wasteful number, since it uses less digits than its factorization.

34240900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8020 (or 8013 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34240900 is about 5851.5724382426. The cubic root of 34240900 is about 324.7245002550.

The spelling of 34240900 in words is "thirty-four million, two hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 4300 7963 15926 31852 39815 79630 159260 199075 342409 398150 684818 796300 1369636 1712045 3424090 6848180 8560225 17120450 34240900