Search a number
-
+
730379331360 = 2532572171973439
BaseRepresentation
bin10101010000011100000…
…00000010011100100000
32120211020101120022220200
422220032000002130200
543431304102100420
61315310455505200
7103524323611500
oct12501600023440
92524211508820
10730379331360
11261830100a18
12b9676688200
1353b4a2b7a63
14274c9c93a00
1513eeb160b90
hexaa0e002720

730379331360 has 1728 divisors, whose sum is σ = 3283196716800. Its totient is φ = 146480431104.

The previous prime is 730379331337. The next prime is 730379331361. The reversal of 730379331360 is 63133973037.

730379331360 is a `hidden beast` number, since 7 + 303 + 7 + 9 + 331 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (730379331361) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1663734021 + ... + 1663734459.

It is an arithmetic number, because the mean of its divisors is an integer number (1899998100).

Almost surely, 2730379331360 is an apocalyptic number.

730379331360 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 730379331360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641598358400).

730379331360 is an abundant number, since it is smaller than the sum of its proper divisors (2552817385440).

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

730379331360 is a wasteful number, since it uses less digits than its factorization.

730379331360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 642978, while the sum is 45.

The spelling of 730379331360 in words is "seven hundred thirty billion, three hundred seventy-nine million, three hundred thirty-one thousand, three hundred sixty".