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264144340 = 22513207217
BaseRepresentation
bin11111011111010…
…00010111010100
3200102000220220201
433233220113110
51020110104330
642113310244
76355122055
oct1757502724
9612026821
10264144340
11126114609
1274565384
1342955735
142711c72c
15182c9eca
hexfbe85d4

264144340 has 12 divisors (see below), whose sum is σ = 554703156. Its totient is φ = 105657728.

The previous prime is 264144329. The next prime is 264144367. The reversal of 264144340 is 43441462.

It can be written as a sum of positive squares in 2 ways, for example, as 155401156 + 108743184 = 12466^2 + 10428^2 .

It is a junction number, because it is equal to n+sod(n) for n = 264144299 and 264144308.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6603589 + ... + 6603628.

It is an arithmetic number, because the mean of its divisors is an integer number (46225263).

Almost surely, 2264144340 is an apocalyptic number.

264144340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264144340 is an abundant number, since it is smaller than the sum of its proper divisors (290558816).

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

264144340 is a wasteful number, since it uses less digits than its factorization.

264144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13207226 (or 13207224 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 264144340 is about 16252.5179587657. The cubic root of 264144340 is about 641.6237577049.

The spelling of 264144340 in words is "two hundred sixty-four million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 13207217 26414434 52828868 66036085 132072170 264144340