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2297640 = 233541467
BaseRepresentation
bin1000110000111100101000
311022201202210
420300330220
51042011030
6121125120
725346442
oct10607450
94281683
102297640
11132a284
129297a0
13625a67
1443b492
15305bb0
hex230f28

2297640 has 64 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 596480.

The previous prime is 2297597. The next prime is 2297653. The reversal of 2297640 is 467922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2297598 and 2297607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4687 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

22297640 is an apocalyptic number.

2297640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2297640 is an abundant number, since it is smaller than the sum of its proper divisors (4778520).

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

2297640 is a wasteful number, since it uses less digits than its factorization.

2297640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2297640 is about 1515.7968201576. The cubic root of 2297640 is about 131.9554486934.

The spelling of 2297640 in words is "two million, two hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 467 492 615 820 934 984 1230 1401 1640 1868 2335 2460 2802 3736 4670 4920 5604 7005 9340 11208 14010 18680 19147 28020 38294 56040 57441 76588 95735 114882 153176 191470 229764 287205 382940 459528 574410 765880 1148820 2297640