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3379104 = 25333911
BaseRepresentation
bin1100111000111110100000
320100200021000
430320332200
51331112404
6200232000
740502421
oct14707640
96320230
103379104
1119a8853
12116b600
13914091
1463d648
1546b339
hex338fa0

3379104 has 48 divisors (see below), whose sum is σ = 9858240. Its totient is φ = 1126080.

The previous prime is 3379087. The next prime is 3379127. The reversal of 3379104 is 4019733.

3379104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33791042 = 22836687685632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 1092 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (205380).

Almost surely, 23379104 is an apocalyptic number.

It is an amenable number.

3379104 is an abundant number, since it is smaller than the sum of its proper divisors (6479136).

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

3379104 is a wasteful number, since it uses less digits than its factorization.

3379104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3379104 is about 1838.2339350583. The cubic root of 3379104 is about 150.0607753724.

The spelling of 3379104 in words is "three million, three hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3911 7822 11733 15644 23466 31288 35199 46932 62576 70398 93864 105597 125152 140796 187728 211194 281592 375456 422388 563184 844776 1126368 1689552 3379104