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1230645312 = 2636132029
BaseRepresentation
bin100100101011010…
…0010100001000000
310011202200021000000
41021112202201000
510010021122222
6322041000000
742332212131
oct11126424100
93152607000
101230645312
11581738046
122a4183000
13167c640c0
14b9629c88
15730909ac
hex495a2840

1230645312 has 196 divisors, whose sum is σ = 3945008620. Its totient is φ = 378473472.

The previous prime is 1230645301. The next prime is 1230645359. The reversal of 1230645312 is 2135460321.

1230645312 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 645 + 3 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 800663616 + 429981696 = 28296^2 + 20736^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 605514 + ... + 607542.

It is an arithmetic number, because the mean of its divisors is an integer number (20127595).

Almost surely, 21230645312 is an apocalyptic number.

1230645312 is a gapful number since it is divisible by the number (12) 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 1230645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972504310).

1230645312 is an abundant number, since it is smaller than the sum of its proper divisors (2714363308).

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

1230645312 is an equidigital number, since it uses as much as digits as its factorization.

1230645312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1230645312 is about 35080.5546136318. The cubic root of 1230645312 is about 1071.6286119749.

The spelling of 1230645312 in words is "one billion, two hundred thirty million, six hundred forty-five thousand, three hundred twelve".