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261643345 = 51741193389
BaseRepresentation
bin11111001100001…
…01110001010001
3200020022212012021
433212011301101
51013440041340
641543531441
76324634405
oct1746056121
9606285167
10261643345
11124766577
1273759b81
134228b262
1426a6b105
1517e83e4a
hexf985c51

261643345 has 32 divisors (see below), whose sum is σ = 343193760. Its totient is φ = 190709760.

The previous prime is 261643321. The next prime is 261643363. The reversal of 261643345 is 543346162.

261643345 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 16 ways, for example, as 153462544 + 108180801 = 12388^2 + 10401^2 .

It is not a de Polignac number, because 261643345 - 29 = 261642833 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 261643345.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672411 + ... + 672799.

It is an arithmetic number, because the mean of its divisors is an integer number (10724805).

Almost surely, 2261643345 is an apocalyptic number.

It is an amenable number.

261643345 is a deficient number, since it is larger than the sum of its proper divisors (81550415).

261643345 is a wasteful number, since it uses less digits than its factorization.

261643345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645.

The product of its digits is 51840, while the sum is 34.

The square root of 261643345 is about 16175.3931946027. The cubic root of 261643345 is about 639.5923062635.

The spelling of 261643345 in words is "two hundred sixty-one million, six hundred forty-three thousand, three hundred forty-five".

Divisors: 1 5 17 41 85 193 205 389 697 965 1945 3281 3485 6613 7913 15949 16405 33065 39565 75077 79745 134521 271133 375385 672605 1276309 1355665 3078157 6381545 15390785 52328669 261643345