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34034025636 = 223413174211129
BaseRepresentation
bin11111101100100101…
…100000010010100100
310020211220000122020000
4133230211200102210
51024200202310021
623345055141300
72313252305352
oct375445402244
9106756018200
1034034025636
1113485358216
126719b14830
13329506ac10
14190c0d87d2
15d42d70b26
hex7ec9604a4

34034025636 has 240 divisors, whose sum is σ = 101782905840. Its totient is φ = 9823887360.

The previous prime is 34034025611. The next prime is 34034025637. The reversal of 34034025636 is 63652043043.

34034025636 is a `hidden beast` number, since 34 + 0 + 340 + 256 + 36 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12486721536 + 21547304100 = 111744^2 + 146790^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 34034025636.

It is not an unprimeable number, because it can be changed into a prime (34034025637) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30144720 + ... + 30145848.

It is an arithmetic number, because the mean of its divisors is an integer number (424095441).

Almost surely, 234034025636 is an apocalyptic number.

34034025636 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 34034025636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50891452920).

34034025636 is an abundant number, since it is smaller than the sum of its proper divisors (67748880204).

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

34034025636 is a wasteful number, since it uses less digits than its factorization.

34034025636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 34034025636 its reverse (63652043043), we get a palindrome (97686068679).

The spelling of 34034025636 in words is "thirty-four billion, thirty-four million, twenty-five thousand, six hundred thirty-six".