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261000368 = 24374310253
BaseRepresentation
bin11111000111010…
…00110010110000
3200012010012012022
433203220302300
51013304002433
641522051012
76316316006
oct1743506260
9605105168
10261000368
11124367492
12734a9a68
13420c46b5
1426940a76
1517da8698
hexf8e8cb0

261000368 has 40 divisors (see below), whose sum is σ = 531485328. Its totient is φ = 124008192.

The previous prime is 261000361. The next prime is 261000403. The reversal of 261000368 is 863000162.

261000368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2610003683 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (261000361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20330 + ... + 30582.

Almost surely, 2261000368 is an apocalyptic number.

It is an amenable number.

261000368 is an abundant number, since it is smaller than the sum of its proper divisors (270484960).

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

261000368 is a wasteful number, since it uses less digits than its factorization.

261000368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10341 (or 10335 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 261000368 is about 16155.5058107136. The cubic root of 261000368 is about 639.0679531934.

The spelling of 261000368 in words is "two hundred sixty-one million, three hundred sixty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 37 43 74 86 148 172 296 344 592 688 1591 3182 6364 10253 12728 20506 25456 41012 82024 164048 379361 440879 758722 881758 1517444 1763516 3034888 3527032 6069776 7054064 16312523 32625046 65250092 130500184 261000368