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34420534848 = 2633717732293
BaseRepresentation
bin100000000011100111…
…111010111001000000
310021211211022100012000
4200003213322321000
51030443124103343
623451303304000
72325654501360
oct400347727100
9107754270160
1034420534848
1113663549317
12680744b000
133327167aab
14194758a9a0
15d66c6bed3
hex8039fae40

34420534848 has 448 divisors, whose sum is σ = 124179909120. Its totient is φ = 9125167104.

The previous prime is 34420534801. The next prime is 34420534853. The reversal of 34420534848 is 84843502443.

It is a happy number.

34420534848 is a `hidden beast` number, since 34 + 4 + 2 + 0 + 534 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15009990 + ... + 15012282.

Almost surely, 234420534848 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 34420534848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62089954560).

34420534848 is an abundant number, since it is smaller than the sum of its proper divisors (89759374272).

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

34420534848 is a wasteful number, since it uses less digits than its factorization.

34420534848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 34420534848 in words is "thirty-four billion, four hundred twenty million, five hundred thirty-four thousand, eight hundred forty-eight".