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34438330848 = 2532897123829
BaseRepresentation
bin100000000100101011…
…110011100111100000
310021220001210110201010
4200010223303213200
51031012203041343
623453140540520
72326261660635
oct400453634740
9107801713633
1034438330848
11136725a3759
1268113b1740
13332aa58c7c
141949aa018c
15d685d4d33
hex804af39e0

34438330848 has 48 divisors (see below), whose sum is σ = 90432553680. Its totient is φ = 11475388416.

The previous prime is 34438330837. The next prime is 34438330891. The reversal of 34438330848 is 84803383443.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 34438330797 and 34438330806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216198 + ... + 340026.

It is an arithmetic number, because the mean of its divisors is an integer number (1884011535).

Almost surely, 234438330848 is an apocalyptic number.

It is an amenable number.

34438330848 is an abundant number, since it is smaller than the sum of its proper divisors (55994222832).

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

34438330848 is a wasteful number, since it uses less digits than its factorization.

34438330848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126739 (or 126731 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 34438330848 in words is "thirty-four billion, four hundred thirty-eight million, three hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2897 5794 8691 11588 17382 23176 34764 46352 69528 92704 123829 139056 247658 278112 371487 495316 742974 990632 1485948 1981264 2971896 3962528 5943792 11887584 358732613 717465226 1076197839 1434930452 2152395678 2869860904 4304791356 5739721808 8609582712 11479443616 17219165424 34438330848