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368901 = 33131051
BaseRepresentation
bin1011010000100000101
3200202001000
41122010011
543301101
611523513
73064341
oct1320405
9622030
10368901
11232185
12159599
13cbbb0
1498621
1574486
hex5a105

368901 has 16 divisors (see below), whose sum is σ = 589120. Its totient is φ = 226800.

The previous prime is 368899. The next prime is 368911. The reversal of 368901 is 109863.

It is not a de Polignac number, because 368901 - 21 = 368899 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 368901.

It is not an unprimeable number, because it can be changed into a prime (368911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175 + ... + 876.

It is an arithmetic number, because the mean of its divisors is an integer number (36820).

2368901 is an apocalyptic number.

368901 is the 351-st octagonal number.

It is an amenable number.

368901 is a deficient number, since it is larger than the sum of its proper divisors (220219).

368901 is a wasteful number, since it uses less digits than its factorization.

368901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 368901 is about 607.3722087814. The cubic root of 368901 is about 71.7193939239.

The spelling of 368901 in words is "three hundred sixty-eight thousand, nine hundred one".

Divisors: 1 3 9 13 27 39 117 351 1051 3153 9459 13663 28377 40989 122967 368901