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730372032 = 26331324161
BaseRepresentation
bin101011100010001…
…001011111000000
31212220022202002000
4223202021133000
52443433401112
6200250224000
724046026345
oct5342113700
91786282060
10730372032
11345304355
12184725000
13b8414800
146d0027cc
15441c17dc
hex2b8897c0

730372032 has 336 divisors, whose sum is σ = 2420782560. Its totient is φ = 215654400.

The previous prime is 730372009. The next prime is 730372043. The reversal of 730372032 is 230273037.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 730371987 and 730372005.

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, 11973282 + ... + 11973342.

It is an arithmetic number, because the mean of its divisors is an integer number (7204710).

Almost surely, 2730372032 is an apocalyptic number.

730372032 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 730372032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210391280).

730372032 is an abundant number, since it is smaller than the sum of its proper divisors (1690410528).

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

730372032 is a wasteful number, since it uses less digits than its factorization.

730372032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 120 counting only the distinct ones).

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

The square root of 730372032 is about 27025.3960563023. The cubic root of 730372032 is about 900.5642683718.

The spelling of 730372032 in words is "seven hundred thirty million, three hundred seventy-two thousand, thirty-two".