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964396368 = 24341357241
BaseRepresentation
bin111001011110111…
…000010101010000
32111012200102010000
4321132320111100
53433341140433
6235410210000
732620143135
oct7136702520
92435612100
10964396368
114554162a1
1222ab83900
13124a52750
149212058c
15599ec113
hex397b8550

964396368 has 100 divisors (see below), whose sum is σ = 3006006388. Its totient is φ = 296732160.

The previous prime is 964396291. The next prime is 964396373. The reversal of 964396368 is 863693469.

It is a happy number.

964396368 is a `hidden beast` number, since 96 + 439 + 63 + 68 = 666.

964396368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 169833024 + 794563344 = 13032^2 + 28188^2 .

It is a super-2 number, since 2×9643963682 = 1860120709223182848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11773 + ... + 45468.

Almost surely, 2964396368 is an apocalyptic number.

It is an amenable number.

964396368 is an abundant number, since it is smaller than the sum of its proper divisors (2041610020).

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

964396368 is a wasteful number, since it uses less digits than its factorization.

964396368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57274 (or 57259 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The square root of 964396368 is about 31054.7318133646. The cubic root of 964396368 is about 987.9884223375.

The spelling of 964396368 in words is "nine hundred sixty-four million, three hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 57241 114482 171723 228964 343446 457928 515169 686892 744133 915856 1030338 1373784 1488266 1545507 2060676 2232399 2747568 2976532 3091014 4121352 4464798 4636521 5953064 6182028 6697197 8242704 8929596 9273042 11906128 12364056 13394394 17859192 18546084 20091591 24728112 26788788 35718384 37092168 40183182 53577576 60274773 74184336 80366364 107155152 120549546 160732728 241099092 321465456 482198184 964396368