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2296728 = 23337331
BaseRepresentation
bin1000110000101110011000
311022200112000
420300232120
51041443403
6121121000
725344000
oct10605630
94280460
102296728
111329625
12929160
13625515
1443b000
153057a3
hex230b98

2296728 has 128 divisors (see below), whose sum is σ = 7680000. Its totient is φ = 635040.

The previous prime is 2296727. The next prime is 2296729. The reversal of 2296728 is 8276922.

It is an interprime number because it is at equal distance from previous prime (2296727) and next prime (2296729).

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 a junction number, because it is equal to n+sod(n) for n = 2296692 and 2296701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2296727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74073 + ... + 74103.

It is an arithmetic number, because the mean of its divisors is an integer number (60000).

22296728 is an apocalyptic number.

2296728 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 2296728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840000).

2296728 is an abundant number, since it is smaller than the sum of its proper divisors (5383272).

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

2296728 is a wasteful number, since it uses less digits than its factorization.

2296728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 43 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2296728 is about 1515.4959584242. The cubic root of 2296728 is about 131.9379874004.

The spelling of 2296728 in words is "two million, two hundred ninety-six thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 49 54 56 62 63 72 84 93 98 108 124 126 147 168 186 189 196 216 217 248 252 279 294 343 372 378 392 434 441 504 558 588 651 686 744 756 837 868 882 1029 1116 1176 1302 1323 1372 1512 1519 1674 1736 1764 1953 2058 2232 2604 2646 2744 3038 3087 3348 3528 3906 4116 4557 5208 5292 5859 6076 6174 6696 7812 8232 9114 9261 10584 10633 11718 12152 12348 13671 15624 18228 18522 21266 23436 24696 27342 31899 36456 37044 41013 42532 46872 54684 63798 74088 82026 85064 95697 109368 127596 164052 191394 255192 287091 328104 382788 574182 765576 1148364 2296728