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3376104 = 233414773
BaseRepresentation
bin1100111000001111101000
320100112010220
430320033220
51331013404
6200210040
740460604
oct14701750
96315126
103376104
1119a6576
121169920
139128c4
1463c504
1546a4d9
hex3383e8

3376104 has 64 divisors (see below), whose sum is σ = 8951040. Its totient is φ = 1059840.

The previous prime is 3376099. The next prime is 3376111. The reversal of 3376104 is 4016733.

3376104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33761042 = 22796156437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 46212 + ... + 46284.

It is an arithmetic number, because the mean of its divisors is an integer number (139860).

Almost surely, 23376104 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 3376104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475520).

3376104 is an abundant number, since it is smaller than the sum of its proper divisors (5574936).

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

3376104 is a wasteful number, since it uses less digits than its factorization.

3376104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3376104 is about 1837.4177532614. The cubic root of 3376104 is about 150.0163537725.

It can be divided in two parts, 337 and 6104, that added together give a triangular number (6441 = T113).

The spelling of 3376104 in words is "three million, three hundred seventy-six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 47 73 82 94 123 141 146 164 188 219 246 282 292 328 376 438 492 564 584 876 984 1128 1752 1927 2993 3431 3854 5781 5986 6862 7708 8979 10293 11562 11972 13724 15416 17958 20586 23124 23944 27448 35916 41172 46248 71832 82344 140671 281342 422013 562684 844026 1125368 1688052 3376104