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693688320 = 21133513193
BaseRepresentation
bin101001010110001…
…101100000000000
31210100022000111000
4221112031200000
52410041011240
6152500052000
723122152633
oct5126154000
91710260430
10693688320
11326629336
12174394000
13b093c580
14681b3c1a
1540d77430
hex2958d800

693688320 has 384 divisors, whose sum is σ = 2669284800. Its totient is φ = 169869312.

The previous prime is 693688313. The next prime is 693688337. The reversal of 693688320 is 23886396.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594144 + ... + 3594336.

Almost surely, 2693688320 is an apocalyptic number.

693688320 is a gapful number since it is divisible by the number (60) 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 693688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334642400).

693688320 is an abundant number, since it is smaller than the sum of its proper divisors (1975596480).

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

693688320 is a wasteful number, since it uses less digits than its factorization.

693688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 693688320 is about 26337.9634748019. The cubic root of 693688320 is about 885.2272900843.

The spelling of 693688320 in words is "six hundred ninety-three million, six hundred eighty-eight thousand, three hundred twenty".