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3230940960 = 2534513127151
BaseRepresentation
bin1100000010010100…
…0011111100100000
322100011120210210000
43000211003330200
523104110102320
61252334140000
7143031354642
oct30045037440
98304523700
103230940960
111408866845
12762051600
133c64b2bb0
14229160892
1513d9b0c90
hexc0943f20

3230940960 has 480 divisors, whose sum is σ = 12458299392. Its totient is φ = 783820800.

The previous prime is 3230940959. The next prime is 3230940971. The reversal of 3230940960 is 690490323.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21396885 + ... + 21397035.

Almost surely, 23230940960 is an apocalyptic number.

3230940960 is a gapful number since it is divisible by the number (30) 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 3230940960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6229149696).

3230940960 is an abundant number, since it is smaller than the sum of its proper divisors (9227358432).

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

3230940960 is a wasteful number, since it uses less digits than its factorization.

3230940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3230940960 is about 56841.3666267798. The cubic root of 3230940960 is about 1478.3468514794.

The spelling of 3230940960 in words is "three billion, two hundred thirty million, nine hundred forty thousand, nine hundred sixty".