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963113340 = 223572293127
BaseRepresentation
bin111001011001111…
…111000101111100
32111010021020010110
4321121333011330
53433024111330
6235322510020
732603220420
oct7131770574
92433236113
10963113340
1145471a342
1222a665310
131246c3767
1491ca8b80
1559846db0
hex3967f17c

963113340 has 48 divisors (see below), whose sum is σ = 3081964032. Its totient is φ = 220140096.

The previous prime is 963113321. The next prime is 963113381. The reversal of 963113340 is 43311369.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 963113298 and 963113307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1146144 + ... + 1146983.

It is an arithmetic number, because the mean of its divisors is an integer number (64207584).

Almost surely, 2963113340 is an apocalyptic number.

It is an amenable number.

963113340 is an abundant number, since it is smaller than the sum of its proper divisors (2118850692).

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

963113340 is a wasteful number, since it uses less digits than its factorization.

963113340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2293146 (or 2293144 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 963113340 is about 31034.0674098643. The cubic root of 963113340 is about 987.5500896453.

The spelling of 963113340 in words is "nine hundred sixty-three million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2293127 4586254 6879381 9172508 11465635 13758762 16051889 22931270 27517524 32103778 34396905 45862540 48155667 64207556 68793810 80259445 96311334 137587620 160518890 192622668 240778335 321037780 481556670 963113340