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930993408 = 28323767163
BaseRepresentation
bin110111011111011…
…101010100000000
32101212211100212100
4313133131110000
53401313242113
6232214230400
732033212332
oct6737352400
92355740770
10930993408
11438581144
1221b955400
1311ab58897
148b907452
1556aeed73
hex377dd500

930993408 has 216 divisors, whose sum is σ = 2815143968. Its totient is φ = 295612416.

The previous prime is 930993403. The next prime is 930993421. The reversal of 930993408 is 804399039.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930993403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5711535 + ... + 5711697.

Almost surely, 2930993408 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 930993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407571984).

930993408 is an abundant number, since it is smaller than the sum of its proper divisors (1884150560).

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

930993408 is a wasteful number, since it uses less digits than its factorization.

930993408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 930993408 is about 30512.1845825565. The cubic root of 930993408 is about 976.4474343717.

The spelling of 930993408 in words is "nine hundred thirty million, nine hundred ninety-three thousand, four hundred eight".