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34520385438 = 2347211616481
BaseRepresentation
bin100000001001100100…
…110100011110011110
310022002210012021110000
4200021210310132132
51031144204313223
623505231355130
72331306302100
oct401144643636
9108083167400
1034520385438
1113704948570
126834982aa6
133341a58596
14195693d570
15d708e2543
hex80993479e

34520385438 has 240 divisors, whose sum is σ = 99784582128. Its totient is φ = 8817984000.

The previous prime is 34520385397. The next prime is 34520385463. The reversal of 34520385438 is 83458302543.

34520385438 is a `hidden beast` number, since 3 + 4 + 5 + 203 + 8 + 5 + 438 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34520385393 and 34520385402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5323158 + ... + 5329638.

Almost surely, 234520385438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34520385438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49892291064).

34520385438 is an abundant number, since it is smaller than the sum of its proper divisors (65264196690).

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

34520385438 is a wasteful number, since it uses less digits than its factorization.

34520385438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6581 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 34520385438 in words is "thirty-four billion, five hundred twenty million, three hundred eighty-five thousand, four hundred thirty-eight".