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9334424880 = 243351119232931
BaseRepresentation
bin10001011000110000…
…00000010100110000
3220002112100220201000
420230120000110300
5123104103044010
64142125042000
7450213205464
oct105430002460
926075326630
109334424880
113a60048630
1219860b6300
13b59b42141
146479ca4a4
1539973a7c0
hex22c600530

9334424880 has 1280 divisors, whose sum is σ = 41140224000. Its totient is φ = 1916006400.

The previous prime is 9334424837. The next prime is 9334424929. The reversal of 9334424880 is 884244339.

9334424880 is a `hidden beast` number, since 93 + 3 + 442 + 48 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 301110465 + ... + 301110495.

It is an arithmetic number, because the mean of its divisors is an integer number (32140800).

Almost surely, 29334424880 is an apocalyptic number.

9334424880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9334424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112000).

9334424880 is an abundant number, since it is smaller than the sum of its proper divisors (31805799120).

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

9334424880 is a wasteful number, since it uses less digits than its factorization.

9334424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 9334424880 is about 96614.8274334742. The cubic root of 9334424880 is about 2105.5352746057.

The spelling of 9334424880 in words is "nine billion, three hundred thirty-four million, four hundred twenty-four thousand, eight hundred eighty".