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2330272 = 257101103
BaseRepresentation
bin1000111000111010100000
311101101112101
420320322200
51044032042
6121540144
725543540
oct10707240
94341471
102330272
11135184a
12944654
13637879
14449320
153106b7
hex238ea0

2330272 has 48 divisors (see below), whose sum is σ = 5346432. Its totient is φ = 979200.

The previous prime is 2330249. The next prime is 2330281. The reversal of 2330272 is 2720332.

It is a happy number.

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, 22573 + ... + 22675.

It is an arithmetic number, because the mean of its divisors is an integer number (111384).

22330272 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 2330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216).

2330272 is an abundant number, since it is smaller than the sum of its proper divisors (3016160).

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

2330272 is a wasteful number, since it uses less digits than its factorization.

2330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 2330272 is about 1526.5228462096. The cubic root of 2330272 is about 132.5772090651.

The spelling of 2330272 in words is "two million, three hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 101 103 112 202 206 224 404 412 707 721 808 824 1414 1442 1616 1648 2828 2884 3232 3296 5656 5768 10403 11312 11536 20806 22624 23072 41612 72821 83224 145642 166448 291284 332896 582568 1165136 2330272