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261241344 = 2932721389
BaseRepresentation
bin11111001001000…
…11101000000000
3200012120102202100
433210203220000
51013334210334
641531150400
76321341400
oct1744435000
9605512670
10261241344
11124511541
12735a5400
134217a2a0
14269a4800
1517e04c99
hexf923a00

261241344 has 360 divisors, whose sum is σ = 955134180. Its totient is φ = 68124672.

The previous prime is 261241333. The next prime is 261241391. The reversal of 261241344 is 443142162.

It is a happy number.

261241344 is a `hidden beast` number, since 2 + 612 + 4 + 1 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 32626944 = 15120^2 + 5712^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2935252 + ... + 2935340.

Almost surely, 2261241344 is an apocalyptic number.

261241344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477567090).

261241344 is an abundant number, since it is smaller than the sum of its proper divisors (693892836).

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

261241344 is a wasteful number, since it uses less digits than its factorization.

261241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 261241344 is about 16162.9621047629. The cubic root of 261241344 is about 639.2645719052.

It can be divided in two parts, 2612 and 41344, that added together give a triangular number (43956 = T296).

The spelling of 261241344 in words is "two hundred sixty-one million, two hundred forty-one thousand, three hundred forty-four".