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34604974080 = 2173255867
BaseRepresentation
bin100000001110100111…
…100000000000000000
310022022200100211020200
4200032213200000000
51031332333132310
623521452405200
72333354266155
oct401647400000
9108280324220
1034604974080
1113748673236
126859176800
133356434431
141963c7c22c
15d780509c0
hex80e9e0000

34604974080 has 216 divisors, whose sum is σ = 119983899672. Its totient is φ = 9226420224.

The previous prime is 34604974069. The next prime is 34604974081. The reversal of 34604974080 is 8047940643.

34604974080 is a `hidden beast` number, since 3 + 46 + 0 + 497 + 40 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34604974081) 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, 5895307 + ... + 5901173.

It is an arithmetic number, because the mean of its divisors is an integer number (555481017).

Almost surely, 234604974080 is an apocalyptic number.

34604974080 is a gapful number since it is divisible by the number (30) 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 34604974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59991949836).

34604974080 is an abundant number, since it is smaller than the sum of its proper divisors (85378925592).

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

34604974080 is an frugal number, since it uses more digits than its factorization.

34604974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5877 counting only the distinct ones).

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

The spelling of 34604974080 in words is "thirty-four billion, six hundred four million, nine hundred seventy-four thousand, eighty".