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3415668 = 2231971211
BaseRepresentation
bin1101000001111001110100
320102112102020
431001321310
51333300133
6201113140
741014134
oct15017164
96375366
103415668
111a23273
1211887b0
13927909
1464cac4
154770b3
hex341e74

3415668 has 48 divisors (see below), whose sum is σ = 8547840. Its totient is φ = 1058400.

The previous prime is 3415627. The next prime is 3415679. The reversal of 3415668 is 8665143.

3415668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 16083 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (178080).

Almost surely, 23415668 is an apocalyptic number.

3415668 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273920).

3415668 is an abundant number, since it is smaller than the sum of its proper divisors (5132172).

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

3415668 is a wasteful number, since it uses less digits than its factorization.

3415668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3415668 is about 1848.1525911028. The cubic root of 3415668 is about 150.6000850074.

The spelling of 3415668 in words is "three million, four hundred fifteen thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 211 213 228 284 422 426 633 844 852 1266 1349 2532 2698 4009 4047 5396 8018 8094 12027 14981 16036 16188 24054 29962 44943 48108 59924 89886 179772 284639 569278 853917 1138556 1707834 3415668