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30034494336 = 2737211312151
BaseRepresentation
bin11011111110001100…
…100000001110000000
32212112011012101201010
4123332030200032000
5443002312304321
621444143240520
72112165663300
oct337614401600
985464171633
1030034494336
1111812764150
1259a25a9140
132aa8581952
14164cc67600
15babb8e676
hex6fe320380

30034494336 has 576 divisors, whose sum is σ = 105305028480. Its totient is φ = 7499520000.

The previous prime is 30034494307. The next prime is 30034494437. The reversal of 30034494336 is 63349443003.

It is a junction number, because it is equal to n+sod(n) for n = 30034494294 and 30034494303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198903861 + ... + 198904011.

It is an arithmetic number, because the mean of its divisors is an integer number (182821230).

Almost surely, 230034494336 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 30034494336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52652514240).

30034494336 is an abundant number, since it is smaller than the sum of its proper divisors (75270534144).

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

30034494336 is a wasteful number, since it uses less digits than its factorization.

30034494336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 39.

The spelling of 30034494336 in words is "thirty billion, thirty-four million, four hundred ninety-four thousand, three hundred thirty-six".