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2616328 = 2311132287
BaseRepresentation
bin1001111110110000001000
311220220221001
421332300020
51132210303
6132024344
731144531
oct11766010
94826831
102616328
111527760
12a620b4
13707b30
144c1688
1536a31d
hex27ec08

2616328 has 32 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 1097280.

The previous prime is 2616287. The next prime is 2616331. The reversal of 2616328 is 8236162.

2616328 is a nontrivial binomial coefficient, being equal to C(2288, 2).

It is a junction number, because it is equal to n+sod(n) for n = 2616296 and 2616305.

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, 1 + ... + 2287.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

22616328 is an apocalyptic number.

2616328 is the 2287-th triangular number and also the 1144-th hexagonal number.

2616328 is the 763-rd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2616328 is an abundant number, since it is smaller than the sum of its proper divisors (3149432).

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

2616328 is a wasteful number, since it uses less digits than its factorization.

2616328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2313 counting only the distinct ones).

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

The square root of 2616328 is about 1617.5067233245. The cubic root of 2616328 is about 137.7941339891.

The spelling of 2616328 in words is "two million, six hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 572 1144 2287 4574 9148 18296 25157 29731 50314 59462 100628 118924 201256 237848 327041 654082 1308164 2616328