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2293368 = 2337111773
BaseRepresentation
bin1000101111111001111000
311022111220120
420233321320
51041341433
6121053240
725331130
oct10577170
94274816
102293368
111327050
12927220
13623b2c
14439ac0
153047b3
hex22fe78

2293368 has 128 divisors (see below), whose sum is σ = 7672320. Its totient is φ = 552960.

The previous prime is 2293367. The next prime is 2293391. The reversal of 2293368 is 8633922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31380 + ... + 31452.

It is an arithmetic number, because the mean of its divisors is an integer number (59940).

22293368 is an apocalyptic number.

2293368 is a gapful number since it is divisible by the number (28) 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 2293368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836160).

2293368 is an abundant number, since it is smaller than the sum of its proper divisors (5378952).

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

2293368 is a wasteful number, since it uses less digits than its factorization.

2293368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 113 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 2293368 is about 1514.3870046986. The cubic root of 2293368 is about 131.8736164062.

2293368 divided by its sum of digits (33) gives a palindrome (69496).

The spelling of 2293368 in words is "two million, two hundred ninety-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 33 34 42 44 51 56 66 68 73 77 84 88 102 119 132 136 146 154 168 187 204 219 231 238 264 292 308 357 374 408 438 462 476 511 561 584 616 714 748 803 876 924 952 1022 1122 1241 1309 1428 1496 1533 1606 1752 1848 2044 2244 2409 2482 2618 2856 3066 3212 3723 3927 4088 4488 4818 4964 5236 5621 6132 6424 7446 7854 8687 9636 9928 10472 11242 12264 13651 14892 15708 16863 17374 19272 22484 26061 27302 29784 31416 33726 34748 40953 44968 52122 54604 67452 69496 81906 95557 104244 109208 134904 163812 191114 208488 286671 327624 382228 573342 764456 1146684 2293368