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3390829 = 13972689
BaseRepresentation
bin1100111011110101101101
320101021100021
430323311231
51332001304
6200402141
740551541
oct14736555
96337307
103390829
111a06642
121176351
13919510
14643a21
1546ea54
hex33bd6d

3390829 has 8 divisors (see below), whose sum is σ = 3690680. Its totient is φ = 3096576.

The previous prime is 3390809. The next prime is 3390839. The reversal of 3390829 is 9280933.

It can be written as a sum of positive squares in 4 ways, for example, as 52900 + 3337929 = 230^2 + 1827^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(3390829) divides (3390829-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3390829 is a prime.

It is a super-2 number, since 2×33908292 = 22995442614482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3390794 and 3390803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 2605.

It is an arithmetic number, because the mean of its divisors is an integer number (461335).

Almost surely, 23390829 is an apocalyptic number.

It is an amenable number.

3390829 is a deficient number, since it is larger than the sum of its proper divisors (299851).

3390829 is a wasteful number, since it uses less digits than its factorization.

3390829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2799.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 3390829 is about 1841.4203756883. The cubic root of 3390829 is about 150.2341380427.

The spelling of 3390829 in words is "three million, three hundred ninety thousand, eight hundred twenty-nine".

Divisors: 1 13 97 1261 2689 34957 260833 3390829