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4290384 = 24371132
BaseRepresentation
bin10000010111011101010000
322001222022010
4100113131100
52044243014
6231542520
751316260
oct20273520
98058263
104290384
11247047a
12152aa40
13b72ab7
147d97a0
1559b359
hex417750

4290384 has 60 divisors (see below), whose sum is σ = 12779936. Its totient is φ = 1214976.

The previous prime is 4290373. The next prime is 4290413. The reversal of 4290384 is 4830924.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37912 + ... + 38024.

Almost surely, 24290384 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 4290384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389968).

4290384 is an abundant number, since it is smaller than the sum of its proper divisors (8489552).

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

4290384 is a wasteful number, since it uses less digits than its factorization.

4290384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 4290384 is about 2071.3242141200. The cubic root of 4290384 is about 162.4920264332.

The spelling of 4290384 in words is "four million, two hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 113 168 226 336 339 452 678 791 904 1356 1582 1808 2373 2712 3164 4746 5424 6328 9492 12656 12769 18984 25538 37968 38307 51076 76614 89383 102152 153228 178766 204304 268149 306456 357532 536298 612912 715064 1072596 1430128 2145192 4290384