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34883899344 = 2434733111617
BaseRepresentation
bin100000011111001111…
…100000111111010000
310100001010012200210000
4200133033200333100
51032420234234334
624005255010000
72343312152310
oct403717407720
9110033180700
1034883899344
1113881062988
126916669900
13339c163878
14198cd27440
15d9279a299
hex81f3e0fd0

34883899344 has 200 divisors, whose sum is σ = 115746137408. Its totient is φ = 9935861760.

The previous prime is 34883899321. The next prime is 34883899397. The reversal of 34883899344 is 44399838843.

34883899344 is a `hidden beast` number, since 3 + 488 + 38 + 99 + 34 + 4 = 666.

34883899344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2997024 + ... + 3008640.

Almost surely, 234883899344 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 34883899344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873068704).

34883899344 is an abundant number, since it is smaller than the sum of its proper divisors (80862238064).

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

34883899344 is a wasteful number, since it uses less digits than its factorization.

34883899344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11975 (or 11960 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 34883899344 in words is "thirty-four billion, eight hundred eighty-three million, eight hundred ninety-nine thousand, three hundred forty-four".