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974220768 = 2532171931031
BaseRepresentation
bin111010000100010…
…110110111100000
32111220011112122200
4322010112313200
53443400031033
6240400533200
733066511533
oct7204266740
92456145580
10974220768
1145aa16534
12232321200
13126ab23c1
149355aa1a
155a7dd013
hex3a116de0

974220768 has 144 divisors (see below), whose sum is σ = 2951466336. Its totient is φ = 303759360.

The previous prime is 974220733. The next prime is 974220781. The reversal of 974220768 is 867022479.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9742207682 = 1898212209605019648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944413 + ... + 945443.

It is an arithmetic number, because the mean of its divisors is an integer number (20496294).

Almost surely, 2974220768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 974220768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475733168).

974220768 is an abundant number, since it is smaller than the sum of its proper divisors (1977245568).

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

974220768 is a wasteful number, since it uses less digits than its factorization.

974220768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 974220768 is about 31212.5097997582. The cubic root of 974220768 is about 991.3320056276.

The spelling of 974220768 in words is "nine hundred seventy-four million, two hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 193 204 272 288 306 386 408 544 579 612 772 816 1031 1158 1224 1544 1632 1737 2062 2316 2448 3088 3093 3281 3474 4124 4632 4896 6176 6186 6562 6948 8248 9264 9279 9843 12372 13124 13896 16496 17527 18528 18558 19686 24744 26248 27792 29529 32992 35054 37116 39372 49488 52496 52581 55584 59058 70108 74232 78744 98976 104992 105162 118116 140216 148464 157488 157743 198983 210324 236232 280432 296928 314976 315486 397966 420648 472464 560864 596949 630972 795932 841296 944928 1193898 1261944 1591864 1682592 1790847 2387796 2523888 3183728 3382711 3581694 4775592 5047776 6367456 6765422 7163388 9551184 10148133 13530844 14326776 19102368 20296266 27061688 28653552 30444399 40592532 54123376 57307104 60888798 81185064 108246752 121777596 162370128 243555192 324740256 487110384 974220768