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673263360 = 28335711223
BaseRepresentation
bin101000001000010…
…010111100000000
31201220212022201000
4220020102330000
52334323411420
6150450212000
722453433640
oct5010227400
91656768630
10673263360
11316048800
12169584000
13a963a8b3
14655b8520
153e190690
hex28212f00

673263360 has 864 divisors, whose sum is σ = 3131735040. Its totient is φ = 133816320.

The previous prime is 673263343. The next prime is 673263407. The reversal of 673263360 is 63362376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29272309 + ... + 29272331.

Almost surely, 2673263360 is an apocalyptic number.

673263360 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 673263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565867520).

673263360 is an abundant number, since it is smaller than the sum of its proper divisors (2458471680).

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

673263360 is a wasteful number, since it uses less digits than its factorization.

673263360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 673263360 is about 25947.3189366455. The cubic root of 673263360 is about 876.4523840914.

The spelling of 673263360 in words is "six hundred seventy-three million, two hundred sixty-three thousand, three hundred sixty".