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368640018 = 23383233353
BaseRepresentation
bin10101111110010…
…000000000010010
3221200122212001000
4111332100000102
51223332440033
6100325122430
712064250145
oct2576200022
9850585030
10368640018
1117a0a677a
12a3559416
135b4b15b6
1436d6005c
152256ba13
hex15f90012

368640018 has 64 divisors (see below), whose sum is σ = 834986880. Its totient is φ = 120536064.

The previous prime is 368640017. The next prime is 368640031. The reversal of 368640018 is 810046863.

It is a happy number.

368640018 is a `hidden beast` number, since 3 + 6 + 8 + 640 + 0 + 1 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (368640017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1044130 + ... + 1044482.

It is an arithmetic number, because the mean of its divisors is an integer number (13046670).

Almost surely, 2368640018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368640018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417493440).

368640018 is an abundant number, since it is smaller than the sum of its proper divisors (466346862).

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

368640018 is a wasteful number, since it uses less digits than its factorization.

368640018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 368640018 is about 19200.0004687500. Note that the first 3 decimals coincide. The cubic root of 368640018 is about 717.0247711195.

The spelling of 368640018 in words is "three hundred sixty-eight million, six hundred forty thousand, eighteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 233 249 353 466 498 699 706 747 1059 1398 1494 2097 2118 2241 3177 4194 4482 6291 6354 9531 12582 19062 19339 29299 38678 58017 58598 82249 87897 116034 164498 174051 175794 246747 263691 348102 493494 522153 527382 740241 791073 1044306 1480482 1582146 2220723 4441446 6826667 13653334 20480001 40960002 61440003 122880006 184320009 368640018