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2316240 = 243253217
BaseRepresentation
bin1000110101011111010000
311100200021200
420311133100
51043104430
6121351200
725454613
oct10653720
94320250
102316240
111342253
12938500
13631374
1444417a
1530b460
hex2357d0

2316240 has 60 divisors (see below), whose sum is σ = 7781124. Its totient is φ = 617472.

The previous prime is 2316239. The next prime is 2316247. The reversal of 2316240 is 426132.

It is a happy number.

2316240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1527696 + 788544 = 1236^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2316247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 889 + ... + 2328.

22316240 is an apocalyptic number.

2316240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2316240 is an abundant number, since it is smaller than the sum of its proper divisors (5464884).

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

2316240 is a wasteful number, since it uses less digits than its factorization.

2316240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2316240 is about 1521.9198402018. The cubic root of 2316240 is about 132.3105635133.

It can be divided in two parts, 2316 and 240, that added together give a triangular number (2556 = T71).

The spelling of 2316240 in words is "two million, three hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3217 6434 9651 12868 16085 19302 25736 28953 32170 38604 48255 51472 57906 64340 77208 96510 115812 128680 144765 154416 193020 231624 257360 289530 386040 463248 579060 772080 1158120 2316240