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3900424 = 2311127349
BaseRepresentation
bin1110111000010000001000
321100011101011
432320100020
51444303144
6215333304
745103333
oct16702010
97304334
103900424
1122244a0
121381234
13a67458
1473761a
15520a34
hex3b8408

3900424 has 32 divisors (see below), whose sum is σ = 8064000. Its totient is φ = 1753920.

The previous prime is 3900397. The next prime is 3900433. The reversal of 3900424 is 4240093.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3900395 and 3900404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11002 + ... + 11350.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 23900424 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 3900424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4032000).

3900424 is an abundant number, since it is smaller than the sum of its proper divisors (4163576).

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

3900424 is a wasteful number, since it uses less digits than its factorization.

3900424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3900424 is about 1974.9491132685. The cubic root of 3900424 is about 157.4117957456.

The spelling of 3900424 in words is "three million, nine hundred thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 127 254 349 508 698 1016 1396 1397 2792 2794 3839 5588 7678 11176 15356 30712 44323 88646 177292 354584 487553 975106 1950212 3900424