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261343302 = 231122912413
BaseRepresentation
bin11111001001111…
…00100001000110
3200012202121121120
433210330201012
51013400441202
641533254410
76322244553
oct1744744106
9605677546
10261343302
11124581100
1273634406
13421b480c
14269cda2a
1517e250bc
hexf93c846

261343302 has 48 divisors (see below), whose sum is σ = 594382320. Its totient is φ = 76457920.

The previous prime is 261343301. The next prime is 261343333. The reversal of 261343302 is 203343162.

261343302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261343301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14848 + ... + 27260.

It is an arithmetic number, because the mean of its divisors is an integer number (12382965).

Almost surely, 2261343302 is an apocalyptic number.

261343302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 261343302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297191160).

261343302 is an abundant number, since it is smaller than the sum of its proper divisors (333039018).

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

261343302 is a wasteful number, since it uses less digits than its factorization.

261343302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12469 (or 12458 counting only the distinct ones).

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

The square root of 261343302 is about 16166.1158600327. The cubic root of 261343302 is about 639.3477257414.

Adding to 261343302 its reverse (203343162), we get a palindrome (464686464).

The spelling of 261343302 in words is "two hundred sixty-one million, three hundred forty-three thousand, three hundred two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 121 174 242 319 363 638 726 957 1914 3509 7018 10527 12413 21054 24826 37239 74478 136543 273086 359977 409629 719954 819258 1079931 1501973 2159862 3003946 3959747 4505919 7919494 9011838 11879241 23758482 43557217 87114434 130671651 261343302