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6408734904 = 23341113233197
BaseRepresentation
bin1011111011111110…
…11000100010111000
3121112122011110120000
411331333120202320
5101111114004104
62535533233000
7314546230215
oct57577304270
917478143500
106408734904
112799622430
1212aa332760
137b1978140
1444b208b0c
15277974639
hex17dfd88b8

6408734904 has 640 divisors, whose sum is σ = 22949498880. Its totient is φ = 1642291200.

The previous prime is 6408734837. The next prime is 6408734909. The reversal of 6408734904 is 4094378046.

It is a self number, because there is not a number n which added to its sum of digits gives 6408734904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408734909) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66069384 + ... + 66069480.

It is an arithmetic number, because the mean of its divisors is an integer number (35858592).

Almost surely, 26408734904 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 6408734904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474749440).

6408734904 is an abundant number, since it is smaller than the sum of its proper divisors (16540763976).

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

6408734904 is a wasteful number, since it uses less digits than its factorization.

6408734904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6408734904 is about 80054.5745351257. The cubic root of 6408734904 is about 1857.4798126475.

The spelling of 6408734904 in words is "six billion, four hundred eight million, seven hundred thirty-four thousand, nine hundred four".