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643297368 = 233731149829
BaseRepresentation
bin100110010101111…
…111000001011000
31122211110220002110
4212111333001120
52304141003433
6143500032320
721640636350
oct4625770130
91584426073
10643297368
1130014091a
1215b5326a0
13a337823c
1461617b60
153b721963
hex2657f058

643297368 has 128 divisors (see below), whose sum is σ = 1912320000. Its totient is φ = 176463360.

The previous prime is 643297367. The next prime is 643297397. The reversal of 643297368 is 863792346.

643297368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6432973683 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (643297367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775578 + ... + 776406.

It is an arithmetic number, because the mean of its divisors is an integer number (14940000).

Almost surely, 2643297368 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 643297368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956160000).

643297368 is an abundant number, since it is smaller than the sum of its proper divisors (1269022632).

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

643297368 is a wasteful number, since it uses less digits than its factorization.

643297368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1021 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 643297368 is about 25363.3075130197. The cubic root of 643297368 is about 863.2513340557.

The spelling of 643297368 in words is "six hundred forty-three million, two hundred ninety-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 149 168 186 217 248 298 372 434 447 596 651 744 829 868 894 1043 1192 1302 1658 1736 1788 2086 2487 2604 3129 3316 3576 4172 4619 4974 5208 5803 6258 6632 8344 9238 9948 11606 12516 13857 17409 18476 19896 23212 25032 25699 27714 32333 34818 36952 46424 51398 55428 64666 69636 77097 96999 102796 110856 123521 129332 139272 154194 179893 193998 205592 247042 258664 308388 359786 370563 387996 494084 539679 616776 719572 741126 775992 864647 988168 1079358 1439144 1482252 1729294 2158716 2593941 2964504 3458588 3829151 4317432 5187882 6917176 7658302 10375764 11487453 15316604 20751528 22974906 26804057 30633208 45949812 53608114 80412171 91899624 107216228 160824342 214432456 321648684 643297368