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973998768 = 24330896569
BaseRepresentation
bin111010000011100…
…000101010110000
32111212202021010110
4322003200222300
53443320430033
6240352101320
733064565361
oct7203405260
92455667113
10973998768
1145a884766
12232234840
13126a35342
14934ddb68
155a797363
hex3a0e0ab0

973998768 has 40 divisors (see below), whose sum is σ = 2517361200. Its totient is φ = 324511744.

The previous prime is 973998763. The next prime is 973998787. The reversal of 973998768 is 867899379.

It is a junction number, because it is equal to n+sod(n) for n = 973998699 and 973998708.

It is not an unprimeable number, because it can be changed into a prime (973998761) 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, 144988 + ... + 151556.

It is an arithmetic number, because the mean of its divisors is an integer number (62934030).

Almost surely, 2973998768 is an apocalyptic number.

It is an amenable number.

973998768 is an abundant number, since it is smaller than the sum of its proper divisors (1543362432).

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

973998768 is a wasteful number, since it uses less digits than its factorization.

973998768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9669 (or 9663 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 66.

The square root of 973998768 is about 31208.9533307351. The cubic root of 973998768 is about 991.2567001694.

The spelling of 973998768 in words is "nine hundred seventy-three million, nine hundred ninety-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 3089 6178 6569 9267 12356 13138 18534 19707 24712 26276 37068 39414 49424 52552 74136 78828 105104 148272 157656 315312 20291641 40583282 60874923 81166564 121749846 162333128 243499692 324666256 486999384 973998768