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3406104 = 2333131213
BaseRepresentation
bin1100111111100100011000
320102001022000
430333210120
51332443404
6201001000
740644222
oct14774430
96361260
103406104
111a17069
121183160
13923460
14649412
15474339
hex33f918

3406104 has 64 divisors (see below), whose sum is σ = 10197600. Its totient is φ = 1047168.

The previous prime is 3406099. The next prime is 3406147. The reversal of 3406104 is 4016043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2202 + ... + 3414.

Almost surely, 23406104 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 3406104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098800).

3406104 is an abundant number, since it is smaller than the sum of its proper divisors (6791496).

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

3406104 is a wasteful number, since it uses less digits than its factorization.

3406104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3406104 is about 1845.5633286344. The cubic root of 3406104 is about 150.4593916259.

The spelling of 3406104 in words is "three million, four hundred six thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1213 1404 2426 2808 3639 4852 7278 9704 10917 14556 15769 21834 29112 31538 32751 43668 47307 63076 65502 87336 94614 126152 131004 141921 189228 262008 283842 378456 425763 567684 851526 1135368 1703052 3406104