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4272304 = 2417113139
BaseRepresentation
bin10000010011000010110000
322001001111111
4100103002300
52043203204
6231323104
751212461
oct20230260
98031444
104272304
112458933
121520494
13b677ba
147d2d68
15595d04
hex4130b0

4272304 has 40 divisors (see below), whose sum is σ = 8905680. Its totient is φ = 1978368.

The previous prime is 4272269. The next prime is 4272311. The reversal of 4272304 is 4032724.

It is a d-powerful number, because it can be written as 47 + 29 + 7 + 211 + 310 + 0 + 411 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30667 + ... + 30805.

It is an arithmetic number, because the mean of its divisors is an integer number (222642).

Almost surely, 24272304 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 4272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4452840).

4272304 is an abundant number, since it is smaller than the sum of its proper divisors (4633376).

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

4272304 is a wasteful number, since it uses less digits than its factorization.

4272304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4272304 is about 2066.9552486689. The cubic root of 4272304 is about 162.2634538619.

The spelling of 4272304 in words is "four million, two hundred seventy-two thousand, three hundred four".

Divisors: 1 2 4 8 16 17 34 68 113 136 139 226 272 278 452 556 904 1112 1808 1921 2224 2363 3842 4726 7684 9452 15368 15707 18904 30736 31414 37808 62828 125656 251312 267019 534038 1068076 2136152 4272304