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3230461440 = 29375577
BaseRepresentation
bin1100000010001100…
…1110111000000000
322100010200110000000
43000203032320000
523103444231230
61252320000000
7143024316633
oct30043167000
98303613000
103230461440
111408569548
12761a60000
133c637585b
14229077c1a
1513d918b60
hexc08cee00

3230461440 has 320 divisors, whose sum is σ = 11636665920. Its totient is φ = 859963392.

The previous prime is 3230461427. The next prime is 3230461457. The reversal of 3230461440 is 441640323.

3230461440 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 4 + 614 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×32304614402 = 20871762230653747200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5598432 + ... + 5599008.

It is an arithmetic number, because the mean of its divisors is an integer number (36364581).

Almost surely, 23230461440 is an apocalyptic number.

3230461440 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 3230461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818332960).

3230461440 is an abundant number, since it is smaller than the sum of its proper divisors (8406204480).

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

3230461440 is an frugal number, since it uses more digits than its factorization.

3230461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3230461440 is about 56837.1484154510. The cubic root of 3230461440 is about 1478.2737115940.

The spelling of 3230461440 in words is "three billion, two hundred thirty million, four hundred sixty-one thousand, four hundred forty".