Search a number
-
+
3320397 = 32536961
BaseRepresentation
bin1100101010101001001101
320020200201200
430222221031
51322223042
6155100113
740136313
oct14525115
96220650
103320397
111968733
121141639
138c3442
146260b3
15458c4c
hex32aa4d

3320397 has 12 divisors (see below), whose sum is σ = 4887324. Its totient is φ = 2171520.

The previous prime is 3320381. The next prime is 3320431. The reversal of 3320397 is 7930233.

3320397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2499561 + 820836 = 1581^2 + 906^2 .

It is not a de Polignac number, because 3320397 - 24 = 3320381 is a prime.

It is a super-2 number, since 2×33203972 = 22050072475218, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320357) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3004 + ... + 3957.

It is an arithmetic number, because the mean of its divisors is an integer number (407277).

Almost surely, 23320397 is an apocalyptic number.

It is an amenable number.

3320397 is a deficient number, since it is larger than the sum of its proper divisors (1566927).

3320397 is a wasteful number, since it uses less digits than its factorization.

3320397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7017 counting only the distinct ones).

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

The square root of 3320397 is about 1822.1956536003. The cubic root of 3320397 is about 149.1866645404.

It can be divided in two parts, 3 and 320397, that multiplied together give a triangular number (961191 = T1386).

The spelling of 3320397 in words is "three million, three hundred twenty thousand, three hundred ninety-seven".

Divisors: 1 3 9 53 159 477 6961 20883 62649 368933 1106799 3320397