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4307984 = 241937383
BaseRepresentation
bin10000011011110000010000
322002212102222
4100123300100
52100323414
6232200212
751421502
oct20336020
98085388
104307984
11248271a
121539068
13b7ab05
14801d72
155a168e
hex41bc10

4307984 has 40 divisors (see below), whose sum is σ = 9047040. Its totient is φ = 1980288.

The previous prime is 4307971. The next prime is 4308001. The reversal of 4307984 is 4897034.

4307984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43079842 = 37117452288512, which contains 22 as substring.

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, 11057 + ... + 11439.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

Almost surely, 24307984 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 4307984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523520).

4307984 is an abundant number, since it is smaller than the sum of its proper divisors (4739056).

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

4307984 is a wasteful number, since it uses less digits than its factorization.

4307984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 4307984 is about 2075.5683558968. The cubic root of 4307984 is about 162.7139147291.

The spelling of 4307984 in words is "four million, three hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 383 592 703 766 1406 1532 2812 3064 5624 6128 7277 11248 14171 14554 28342 29108 56684 58216 113368 116432 226736 269249 538498 1076996 2153992 4307984