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2304928 = 251719223
BaseRepresentation
bin1000110010101110100000
311100002202201
420302232200
51042224203
6121222544
725406623
oct10625640
94302681
102304928
1113347aa
12931a54
13629182
1443ddba
15307e1d
hex232ba0

2304928 has 48 divisors (see below), whose sum is σ = 5080320. Its totient is φ = 1022976.

The previous prime is 2304901. The next prime is 2304931. The reversal of 2304928 is 8294032.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 2304896 and 2304905.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10225 + ... + 10447.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

22304928 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 2304928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540160).

2304928 is an abundant number, since it is smaller than the sum of its proper divisors (2775392).

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

2304928 is a wasteful number, since it uses less digits than its factorization.

2304928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 2304928 is about 1518.1989329465. The cubic root of 2304928 is about 132.0948201478.

The spelling of 2304928 in words is "two million, three hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 223 272 304 323 446 544 608 646 892 1292 1784 2584 3568 3791 4237 5168 7136 7582 8474 10336 15164 16948 30328 33896 60656 67792 72029 121312 135584 144058 288116 576232 1152464 2304928