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730703232 = 27327313779
BaseRepresentation
bin101011100011011…
…010010110000000
31212220221120101200
4223203122112000
52444030000412
6200301301200
724051606060
oct5343322600
91786846350
10730703232
11345510176
12184864800
13b84cc49c
146d08b3a0
15442399dc
hex2b8da580

730703232 has 384 divisors, whose sum is σ = 2579865600. Its totient is φ = 194088960.

The previous prime is 730703213. The next prime is 730703251. The reversal of 730703232 is 232307037.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (730703213) and next prime (730703251).

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

It is a junction number, because it is equal to n+sod(n) for n = 730703196 and 730703205.

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, 9249369 + ... + 9249447.

It is an arithmetic number, because the mean of its divisors is an integer number (6718400).

Almost surely, 2730703232 is an apocalyptic number.

730703232 is a gapful number since it is divisible by the number (72) 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 730703232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289932800).

730703232 is an abundant number, since it is smaller than the sum of its proper divisors (1849162368).

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

730703232 is a wasteful number, since it uses less digits than its factorization.

730703232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 730703232 is about 27031.5229315701. The cubic root of 730703232 is about 900.7003733518.

The spelling of 730703232 in words is "seven hundred thirty million, seven hundred three thousand, two hundred thirty-two".