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393327 = 321129137
BaseRepresentation
bin1100000000001101111
3201222112200
41200001233
5100041302
612232543
73225504
oct1400157
9658480
10393327
11249570
1216b753
1310a04c
14a34ab
157b81c
hex6006f

393327 has 24 divisors (see below), whose sum is σ = 645840. Its totient is φ = 228480.

The previous prime is 393311. The next prime is 393331. The reversal of 393327 is 723393.

It is not a de Polignac number, because 393327 - 24 = 393311 is a prime.

It is a super-2 number, since 2×3933272 = 309412257858, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 393327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2803 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (26910).

2393327 is an apocalyptic number.

393327 is a deficient number, since it is larger than the sum of its proper divisors (252513).

393327 is a wasteful number, since it uses less digits than its factorization.

393327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its digits is 3402, while the sum is 27.

The square root of 393327 is about 627.1578748609. The cubic root of 393327 is about 73.2686044990.

The spelling of 393327 in words is "three hundred ninety-three thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 29 33 87 99 137 261 319 411 957 1233 1507 2871 3973 4521 11919 13563 35757 43703 131109 393327