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3268104 = 23373397
BaseRepresentation
bin1100011101111000001000
320011000222220
430131320020
51314034404
6154014040
736531000
oct14357010
96130886
103268104
111932414
121117320
138a56b8
14611000
154484d9
hex31de08

3268104 has 64 divisors (see below), whose sum is σ = 9552000. Its totient is φ = 931392.

The previous prime is 3268103. The next prime is 3268121. The reversal of 3268104 is 4018623.

It is a happy number.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3268103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8034 + ... + 8430.

It is an arithmetic number, because the mean of its divisors is an integer number (149250).

Almost surely, 23268104 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 3268104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776000).

3268104 is an abundant number, since it is smaller than the sum of its proper divisors (6283896).

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

3268104 is a wasteful number, since it uses less digits than its factorization.

3268104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3268104 is about 1807.7898107911. The cubic root of 3268104 is about 148.3993354663.

The spelling of 3268104 in words is "three million, two hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 397 588 686 794 1029 1176 1191 1372 1588 2058 2382 2744 2779 3176 4116 4764 5558 8232 8337 9528 11116 16674 19453 22232 33348 38906 58359 66696 77812 116718 136171 155624 233436 272342 408513 466872 544684 817026 1089368 1634052 3268104