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730033920 = 28325711823
BaseRepresentation
bin101011100000110…
…110111100000000
31212212200120021100
4223200312330000
52443342041140
6200235054400
724043120530
oct5340667400
91785616240
10730033920
113450a3320
121845a1400
13b8326945
146cd554c0
1544156530
hex2b836f00

730033920 has 432 divisors, whose sum is σ = 3152927232. Its totient is φ = 151511040.

The previous prime is 730033891. The next prime is 730033933. The reversal of 730033920 is 29330037.

730033920 is a `hidden beast` number, since 7 + 300 + 339 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 886629 + ... + 887451.

Almost surely, 2730033920 is an apocalyptic number.

730033920 is a gapful number since it is divisible by the number (70) 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 730033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576463616).

730033920 is an abundant number, since it is smaller than the sum of its proper divisors (2422893312).

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

730033920 is a wasteful number, since it uses less digits than its factorization.

730033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 730033920 is about 27019.1398826832. The cubic root of 730033920 is about 900.4252804904.

Adding to 730033920 its reverse (29330037), we get a palindrome (759363957).

The spelling of 730033920 in words is "seven hundred thirty million, thirty-three thousand, nine hundred twenty".