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3394104 = 233789227
BaseRepresentation
bin1100111100101000111000
320101102211120
430330220320
51332102404
6200425240
740564230
oct14745070
96342746
103394104
111a0904a
121178220
1391ab5c
14644cc0
154709d9
hex33ca38

3394104 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 954624.

The previous prime is 3394099. The next prime is 3394109. The reversal of 3394104 is 4014933.

3394104 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3394099) and next prime (3394109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3394109) 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 15 ways as a sum of consecutive naturals, for example, 14839 + ... + 15065.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 23394104 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 3394104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

3394104 is an abundant number, since it is smaller than the sum of its proper divisors (6455496).

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

3394104 is a wasteful number, since it uses less digits than its factorization.

3394104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3394104 is about 1842.3094202658. The cubic root of 3394104 is about 150.2824898847.

The spelling of 3394104 in words is "three million, three hundred ninety-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 89 168 178 227 267 356 454 534 623 681 712 908 1068 1246 1362 1589 1816 1869 2136 2492 2724 3178 3738 4767 4984 5448 6356 7476 9534 12712 14952 19068 20203 38136 40406 60609 80812 121218 141421 161624 242436 282842 424263 484872 565684 848526 1131368 1697052 3394104