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3144901320 = 23325112234373
BaseRepresentation
bin1011101101110011…
…0110001011001000
322010011200112120200
42323130312023020
522420043320240
61240022052200
7140635135341
oct27334661310
98104615520
103144901320
11137423aa00
1273927a060
133b1719772
1421b9650c8
15136167930
hexbb7362c8

3144901320 has 576 divisors, whose sum is σ = 12159987840. Its totient is φ = 702535680.

The previous prime is 3144901229. The next prime is 3144901373. The reversal of 3144901320 is 231094413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43080804 + ... + 43080876.

It is an arithmetic number, because the mean of its divisors is an integer number (21111090).

Almost surely, 23144901320 is an apocalyptic number.

3144901320 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 3144901320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079993920).

3144901320 is an abundant number, since it is smaller than the sum of its proper divisors (9015086520).

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

3144901320 is a wasteful number, since it uses less digits than its factorization.

3144901320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3144901320 is about 56079.4197544875. The cubic root of 3144901320 is about 1465.1058673935.

Adding to 3144901320 its reverse (231094413), we get a palindrome (3375995733).

The spelling of 3144901320 in words is "three billion, one hundred forty-four million, nine hundred one thousand, three hundred twenty".