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2315328 = 26331389
BaseRepresentation
bin1000110101010001000000
311100122000220
420311101000
51043042303
6121343040
725452141
oct10652100
94318026
102315328
1113415a4
12937a80
13630b22
14443ac8
1530b053
hex235440

2315328 has 56 divisors (see below), whose sum is σ = 6339840. Its totient is φ = 744960.

The previous prime is 2315317. The next prime is 2315329. The reversal of 2315328 is 8235132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 216 + 37 + 1 + 58 + 313 + 218 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 2315298 and 2315307.

It is not an unprimeable number, because it can be changed into a prime (2315329) 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 7 ways as a sum of consecutive naturals, for example, 5758 + ... + 6146.

22315328 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 2315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169920).

2315328 is an abundant number, since it is smaller than the sum of its proper divisors (4024512).

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

2315328 is a wasteful number, since it uses less digits than its factorization.

2315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2315328 is about 1521.6201891405. The cubic root of 2315328 is about 132.2931958435.

It can be divided in two parts, 231532 and 8, that added together give a triangular number (231540 = T680).

The spelling of 2315328 in words is "two million, three hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 389 496 744 778 992 1167 1488 1556 1984 2334 2976 3112 4668 5952 6224 9336 12059 12448 18672 24118 24896 36177 37344 48236 72354 74688 96472 144708 192944 289416 385888 578832 771776 1157664 2315328