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368665668 = 22347533067
BaseRepresentation
bin10101111110010…
…110010001000100
3221200201011020000
4111332112101010
51223334300133
6100325441300
712064415010
oct2576262104
9850634200
10368665668
1117a113a78
12a3570230
135b4c0187
1436d69540
1522574413
hex15f96444

368665668 has 120 divisors (see below), whose sum is σ = 1122593472. Its totient is φ = 103311936.

The previous prime is 368665663. The next prime is 368665681. The reversal of 368665668 is 866566863.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368665663) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118671 + ... + 121737.

Almost surely, 2368665668 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 368665668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561296736).

368665668 is an abundant number, since it is smaller than the sum of its proper divisors (753927804).

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

368665668 is a wasteful number, since it uses less digits than its factorization.

368665668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3143 (or 3132 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 368665668 is about 19200.6684258648. The cubic root of 368665668 is about 717.0414009462.

The spelling of 368665668 in words is "three hundred sixty-eight million, six hundred sixty-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1113 1134 1431 1484 1908 2226 2268 2862 3067 3339 4293 4452 5724 6134 6678 8586 9201 10017 12268 13356 17172 18402 20034 21469 27603 30051 36804 40068 42938 55206 60102 64407 82809 85876 110412 120204 128814 162551 165618 193221 248427 257628 325102 331236 386442 487653 496854 579663 650204 772884 975306 993708 1137857 1159326 1462959 1738989 1950612 2275714 2318652 2925918 3413571 3477978 4388877 4551428 5851836 6827142 6955956 8777754 10240713 13166631 13654284 17555508 20481426 26333262 30722139 40962852 52666524 61444278 92166417 122888556 184332834 368665668