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2640312 = 233236671
BaseRepresentation
bin1010000100100110111000
311222010211100
422010212320
51133442222
6132331400
731304463
oct12044670
94863740
102640312
111543784
12a73b60
13715a1c
144ca2da
153724ac
hex2849b8

2640312 has 24 divisors (see below), whose sum is σ = 7151040. Its totient is φ = 880080.

The previous prime is 2640299. The next prime is 2640317. The reversal of 2640312 is 2130462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640317) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18264 + ... + 18407.

It is an arithmetic number, because the mean of its divisors is an integer number (297960).

22640312 is an apocalyptic number.

It is an amenable number.

2640312 is an abundant number, since it is smaller than the sum of its proper divisors (4510728).

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

2640312 is a wasteful number, since it uses less digits than its factorization.

2640312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36683 (or 36676 counting only the distinct ones).

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

The square root of 2640312 is about 1624.9036894536. The cubic root of 2640312 is about 138.2139089616.

Adding to 2640312 its reverse (2130462), we get a palindrome (4770774).

The spelling of 2640312 in words is "two million, six hundred forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 36671 73342 110013 146684 220026 293368 330039 440052 660078 880104 1320156 2640312