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393963966 = 23311663239
BaseRepresentation
bin10111011110110…
…110100110111110
31000110022102222000
4113132312212332
51301323321331
6103032003130
712522431664
oct2736664676
91013272860
10393963966
11192422a60
12abb304a6
136380a096
143a472c34
15248c00e6
hex177b69be

393963966 has 32 divisors (see below), whose sum is σ = 955065600. Its totient is φ = 119382840.

The previous prime is 393963943. The next prime is 393963971. The reversal of 393963966 is 669369393.

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 15 ways as a sum of consecutive naturals, for example, 331026 + ... + 332213.

It is an arithmetic number, because the mean of its divisors is an integer number (29845800).

Almost surely, 2393963966 is an apocalyptic number.

393963966 is an abundant number, since it is smaller than the sum of its proper divisors (561101634).

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

393963966 is a wasteful number, since it uses less digits than its factorization.

393963966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663261 (or 663255 counting only the distinct ones).

The product of its digits is 4251528, while the sum is 54.

The square root of 393963966 is about 19848.5255371778. The cubic root of 393963966 is about 733.0813432183.

The spelling of 393963966 in words is "three hundred ninety-three million, nine hundred sixty-three thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 663239 1326478 1989717 3979434 5969151 7295629 11938302 14591258 17907453 21886887 35814906 43773774 65660661 131321322 196981983 393963966