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3398408 = 231341797
BaseRepresentation
bin1100111101101100001000
320101122201222
430331230020
51332222113
6200501212
740612616
oct14755410
96348658
103398408
111a11302
12117a808
1391cac0
146466b6
15471e08
hex33db08

3398408 has 32 divisors (see below), whose sum is σ = 7038360. Its totient is φ = 1528320.

The previous prime is 3398407. The next prime is 3398431. The reversal of 3398408 is 8048933.

3398408 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 4 ways, for example, as 1387684 + 2010724 = 1178^2 + 1418^2 .

It is not an unprimeable number, because it can be changed into a prime (3398401) 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 7 ways as a sum of consecutive naturals, for example, 3866 + ... + 4662.

Almost surely, 23398408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3398408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519180).

3398408 is an abundant number, since it is smaller than the sum of its proper divisors (3639952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3398408 is a wasteful number, since it uses less digits than its factorization.

3398408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 3398408 is about 1843.4771493024. The cubic root of 3398408 is about 150.3459865271.

The spelling of 3398408 in words is "three million, three hundred ninety-eight thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 797 1066 1594 2132 3188 4264 6376 10361 20722 32677 41444 65354 82888 130708 261416 424801 849602 1699204 3398408