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3966468 = 22311151199
BaseRepresentation
bin1111001000011000000100
321110111222020
433020120010
52003411333
6221003140
745500022
oct17103004
97414866
103966468
11226a080
1213b34b0
13a8b52c
14753712
155353b3
hex3c8604

3966468 has 48 divisors (see below), whose sum is σ = 10214400. Its totient is φ = 1188000.

The previous prime is 3966439. The next prime is 3966503. The reversal of 3966468 is 8646693.

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, 19833 + ... + 20031.

It is an arithmetic number, because the mean of its divisors is an integer number (212800).

Almost surely, 23966468 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 3966468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107200).

3966468 is an abundant number, since it is smaller than the sum of its proper divisors (6247932).

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

3966468 is a wasteful number, since it uses less digits than its factorization.

3966468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 366 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 3966468 is about 1991.5993573006. The cubic root of 3966468 is about 158.2952871343.

The spelling of 3966468 in words is "three million, nine hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 199 302 398 453 597 604 796 906 1194 1661 1812 2189 2388 3322 4378 4983 6567 6644 8756 9966 13134 19932 26268 30049 60098 90147 120196 180294 330539 360588 661078 991617 1322156 1983234 3966468