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3128383120 = 245291348441
BaseRepresentation
bin1011101001110111…
…0101011010010000
322002000121022212111
42322131311122100
522401331224440
61234232035104
7140344550332
oct27235653220
98060538774
103128383120
1113659885a5
12733832a94
133ab185095
142196a5452
151349a34ea
hexba775690

3128383120 has 40 divisors (see below), whose sum is σ = 7524306360. Its totient is φ = 1208202240.

The previous prime is 3128383051. The next prime is 3128383123. The reversal of 3128383120 is 213838213.

It can be written as a sum of positive squares in 4 ways, for example, as 813618576 + 2314764544 = 28524^2 + 48112^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3128383123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 671901 + ... + 676540.

It is an arithmetic number, because the mean of its divisors is an integer number (188107659).

Almost surely, 23128383120 is an apocalyptic number.

It is an amenable number.

3128383120 is an abundant number, since it is smaller than the sum of its proper divisors (4395923240).

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

3128383120 is a wasteful number, since it uses less digits than its factorization.

3128383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348483 (or 1348477 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 3128383120 is about 55931.9507973752. The cubic root of 3128383120 is about 1462.5362683192.

The spelling of 3128383120 in words is "three billion, one hundred twenty-eight million, three hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 1348441 2696882 5393764 6742205 10787528 13484410 21575056 26968820 39104789 53937640 78209578 107875280 156419156 195523945 312838312 391047890 625676624 782095780 1564191560 3128383120