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390313 = 71137137
BaseRepresentation
bin1011111010010101001
3201211102001
41133102221
544442223
612211001
73213640
oct1372251
9654361
10390313
11247280
12169a61
13108871
14a2357
157a9ad
hex5f4a9

390313 has 16 divisors (see below), whose sum is σ = 503424. Its totient is φ = 293760.

The previous prime is 390307. The next prime is 390323. The reversal of 390313 is 313093.

It can be divided in two parts, 3903 and 13, that added together give a triangular number (3916 = T88).

390313 = T22 + T23 + ... + T132.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 390313 - 25 = 390281 is a prime.

It is a deceptive number, since it divides R390312.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390323) by changing a digit.

It is a Kaprekar number, because its square (152344237969) can be partitioned into two parts whose sum is 390313.

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 15 ways as a sum of consecutive naturals, for example, 2781 + ... + 2917.

It is an arithmetic number, because the mean of its divisors is an integer number (31464).

2390313 is an apocalyptic number.

It is an amenable number.

390313 is a deficient number, since it is larger than the sum of its proper divisors (113111).

390313 is a wasteful number, since it uses less digits than its factorization.

390313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 390313 is about 624.7503501400. The cubic root of 390313 is about 73.0809760093.

The spelling of 390313 in words is "three hundred ninety thousand, three hundred thirteen".

Divisors: 1 7 11 37 77 137 259 407 959 1507 2849 5069 10549 35483 55759 390313