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973290768 = 24330836577
BaseRepresentation
bin111010000000110…
…011110100010000
32111211102021221020
4322000303310100
53443130301033
6240324555440
733055556262
oct7200636420
92454367836
10973290768
1145a44083a
12231b52b80
13126847cc8
1493397b32
155a6a76b3
hex3a033d10

973290768 has 40 divisors (see below), whose sum is σ = 2515532448. Its totient is φ = 324275712.

The previous prime is 973290763. The next prime is 973290803. The reversal of 973290768 is 867092379.

It is a self number, because there is not a number n which added to its sum of digits gives 973290768.

It is not an unprimeable number, because it can be changed into a prime (973290761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144696 + ... + 151272.

Almost surely, 2973290768 is an apocalyptic number.

It is an amenable number.

973290768 is an abundant number, since it is smaller than the sum of its proper divisors (1542241680).

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

973290768 is a wasteful number, since it uses less digits than its factorization.

973290768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9671 (or 9665 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 973290768 is about 31197.6083698735. The cubic root of 973290768 is about 991.0164603512.

The spelling of 973290768 in words is "nine hundred seventy-three million, two hundred ninety thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3083 6166 6577 9249 12332 13154 18498 19731 24664 26308 36996 39462 49328 52616 73992 78924 105232 147984 157848 315696 20276891 40553782 60830673 81107564 121661346 162215128 243322692 324430256 486645384 973290768