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4330272 = 253431049
BaseRepresentation
bin10000100001001100100000
322011000000110
4100201030200
52102032042
6232451320
751543462
oct20411440
98130013
104330272
112498441
121549b40
13b87cbb
1480a132
155a809c
hex421320

4330272 has 48 divisors (see below), whose sum is σ = 11642400. Its totient is φ = 1408512.

The previous prime is 4330253. The next prime is 4330301. The reversal of 4330272 is 2720334.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 3604 + ... + 4652.

It is an arithmetic number, because the mean of its divisors is an integer number (242550).

Almost surely, 24330272 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 4330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5821200).

4330272 is an abundant number, since it is smaller than the sum of its proper divisors (7312128).

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

4330272 is a wasteful number, since it uses less digits than its factorization.

4330272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 4330272 is about 2080.9305610712. The cubic root of 4330272 is about 162.9940404561.

The spelling of 4330272 in words is "four million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1049 1376 2064 2098 3147 4128 4196 6294 8392 12588 16784 25176 33568 45107 50352 90214 100704 135321 180428 270642 360856 541284 721712 1082568 1443424 2165136 4330272