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2296368 = 243237431
BaseRepresentation
bin1000110000101000110000
311022200000200
420300220300
51041440433
6121115200
725342644
oct10605060
94280020
102296368
111329328
12928b00
136252c9
1443ac24
15305613
hex230a30

2296368 has 60 divisors (see below), whose sum is σ = 6615648. Its totient is φ = 743040.

The previous prime is 2296367. The next prime is 2296381. The reversal of 2296368 is 8636922.

2296368 is a `hidden beast` number, since 2 + 296 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2296363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5113 + ... + 5543.

22296368 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 2296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307824).

2296368 is an abundant number, since it is smaller than the sum of its proper divisors (4319280).

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

2296368 is a wasteful number, since it uses less digits than its factorization.

2296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2296368 is about 1515.3771807705. The cubic root of 2296368 is about 131.9310935124.

The spelling of 2296368 in words is "two million, two hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 431 444 592 666 862 888 1293 1332 1724 1776 2586 2664 3448 3879 5172 5328 6896 7758 10344 15516 15947 20688 31032 31894 47841 62064 63788 95682 127576 143523 191364 255152 287046 382728 574092 765456 1148184 2296368