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2290368 = 26379151
BaseRepresentation
bin1000101111001011000000
311022100210110
420233023000
51041242433
6121031320
725316313
oct10571300
94270713
102290368
111324873
12925540
13622662
1443897a
15303963
hex22f2c0

2290368 has 56 divisors (see below), whose sum is σ = 6177280. Its totient is φ = 748800.

The previous prime is 2290339. The next prime is 2290369. The reversal of 2290368 is 8630922.

It is not an unprimeable number, because it can be changed into a prime (2290369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15093 + ... + 15243.

22290368 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 2290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088640).

2290368 is an abundant number, since it is smaller than the sum of its proper divisors (3886912).

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

2290368 is a wasteful number, since it uses less digits than its factorization.

2290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2290368 is about 1513.3961807802. The cubic root of 2290368 is about 131.8160891535.

The spelling of 2290368 in words is "two million, two hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 151 158 192 237 302 316 453 474 604 632 906 948 1208 1264 1812 1896 2416 2528 3624 3792 4832 5056 7248 7584 9664 11929 14496 15168 23858 28992 35787 47716 71574 95432 143148 190864 286296 381728 572592 763456 1145184 2290368