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34644004605 = 3257886312409
BaseRepresentation
bin100000010000111100…
…011000111011111101
310022102101210210001200
4200100330120323331
51031422331121410
623525405130113
72334340115610
oct402074307375
9108371723050
1034644004605
1113768701471
12686a259939
13336154b912
14196911c177
15d7b6b03c0
hex810f18efd

34644004605 has 48 divisors (see below), whose sum is σ = 68641397760. Its totient is φ = 15834196224.

The previous prime is 34644004601. The next prime is 34644004651. The reversal of 34644004605 is 50640044643.

34644004605 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 40 + 0 + 4 + 605 = 666.

34644004605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34644004605 - 22 = 34644004601 is a prime.

It is a super-2 number, since 2×346440046052 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34644004605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34644004601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2785641 + ... + 2798049.

It is an arithmetic number, because the mean of its divisors is an integer number (1430029120).

Almost surely, 234644004605 is an apocalyptic number.

34644004605 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34644004605 is a deficient number, since it is larger than the sum of its proper divisors (33997393155).

34644004605 is a wasteful number, since it uses less digits than its factorization.

34644004605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21290 (or 21287 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 34644004605 its sum of digits (36), we get a square (34644004641 = 1861292).

The spelling of 34644004605 in words is "thirty-four billion, six hundred forty-four million, four thousand, six hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 8863 12409 26589 37227 44315 62041 62045 79767 86863 111681 132945 186123 186135 260589 310205 398835 434315 558369 558405 781767 930615 1302945 2791845 3908835 109980967 329942901 549904835 769866769 989828703 1649714505 2309600307 3849333845 4949143515 6928800921 11548001535 34644004605