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263312340 = 22354388539
BaseRepresentation
bin11111011000111…
…01001111010100
3200100110122121220
433230131033110
51014401443330
642043410340
76345055314
oct1754351724
9610418556
10263312340
111256a6505
12742239b0
1342723b25
1426d83444
15181b3710
hexfb1d3d4

263312340 has 24 divisors (see below), whose sum is σ = 737274720. Its totient is φ = 70216608.

The previous prime is 263312333. The next prime is 263312347. The reversal of 263312340 is 43213362.

263312340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263312333) and next prime (263312347).

It is a self number, because there is not a number n which added to its sum of digits gives 263312340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263312347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2194210 + ... + 2194329.

It is an arithmetic number, because the mean of its divisors is an integer number (30719780).

Almost surely, 2263312340 is an apocalyptic number.

263312340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263312340 is an abundant number, since it is smaller than the sum of its proper divisors (473962380).

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

263312340 is a wasteful number, since it uses less digits than its factorization.

263312340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388551 (or 4388549 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 263312340 is about 16226.9017375468. The cubic root of 263312340 is about 640.9493884882.

The spelling of 263312340 in words is "two hundred sixty-three million, three hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4388539 8777078 13165617 17554156 21942695 26331234 43885390 52662468 65828085 87770780 131656170 263312340