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730938816 = 26341941181
BaseRepresentation
bin101011100100010…
…011110111000000
31212221101112120000
4223210103313000
52444110020231
6200310320000
724053606646
oct5344236700
91787345500
10730938816
11345661173
12184959000
13b858279a
146d10d196
15442846e6
hex2b913dc0

730938816 has 280 divisors, whose sum is σ = 2349306960. Its totient is φ = 223948800.

The previous prime is 730938799. The next prime is 730938829. The reversal of 730938816 is 618839037.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4038246 + ... + 4038426.

It is an arithmetic number, because the mean of its divisors is an integer number (8390382).

Almost surely, 2730938816 is an apocalyptic number.

730938816 is a gapful number since it is divisible by the number (76) 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 730938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174653480).

730938816 is an abundant number, since it is smaller than the sum of its proper divisors (1618368144).

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

730938816 is a wasteful number, since it uses less digits than its factorization.

730938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 730938816 is about 27035.8801595213. The cubic root of 730938816 is about 900.7971603863.

The spelling of 730938816 in words is "seven hundred thirty million, nine hundred thirty-eight thousand, eight hundred sixteen".