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1230830640 = 243451319769
BaseRepresentation
bin100100101011100…
…1111110000110000
310011210000200020000
41021113033300300
510010043040030
6322044550000
742333613344
oct11127176060
93153020200
101230830640
11581854306
122a4252300
13167cca570
14b9677624
15730ca860
hex495cfc30

1230830640 has 400 divisors, whose sum is σ = 4852293600. Its totient is φ = 286654464.

The previous prime is 1230830639. The next prime is 1230830647. The reversal of 1230830640 is 460380321.

It is a happy number.

1230830640 is a `hidden beast` number, since 12 + 3 + 0 + 8 + 3 + 0 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1230830647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600176 + ... + 1600944.

It is an arithmetic number, because the mean of its divisors is an integer number (12130734).

Almost surely, 21230830640 is an apocalyptic number.

1230830640 is a gapful number since it is divisible by the number (10) 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 1230830640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426146800).

1230830640 is an abundant number, since it is smaller than the sum of its proper divisors (3621462960).

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

1230830640 is a wasteful number, since it uses less digits than its factorization.

1230830640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1230830640 is about 35083.1959775617. The cubic root of 1230830640 is about 1071.6824029459.

The spelling of 1230830640 in words is "one billion, two hundred thirty million, eight hundred thirty thousand, six hundred forty".