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261450342 = 2343179659
BaseRepresentation
bin11111001010101…
…10101001100110
3200012222001110000
433211112221212
51013412402332
641535442130
76323201616
oct1745265146
9605861400
10261450342
1112464456a
1273686346
134222145a
1426a1aa46
1517e46b7c
hexf956a66

261450342 has 80 divisors (see below), whose sum is σ = 613324800. Its totient is φ = 83144880.

The previous prime is 261450313. The next prime is 261450347. The reversal of 261450342 is 243054162.

261450342 is a `hidden beast` number, since 2 + 614 + 5 + 0 + 3 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261450347) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 396409 + ... + 397067.

It is an arithmetic number, because the mean of its divisors is an integer number (7666560).

Almost surely, 2261450342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261450342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306662400).

261450342 is an abundant number, since it is smaller than the sum of its proper divisors (351874458).

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

261450342 is a wasteful number, since it uses less digits than its factorization.

261450342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 261450342 is about 16169.4261493722. The cubic root of 261450342 is about 639.4350010340.

The spelling of 261450342 in words is "two hundred sixty-one million, four hundred fifty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 79 81 93 158 162 186 237 279 474 558 659 711 837 1318 1422 1674 1977 2133 2449 2511 3954 4266 4898 5022 5931 6399 7347 11862 12798 14694 17793 20429 22041 35586 40858 44082 52061 53379 61287 66123 104122 106758 122574 132246 156183 183861 198369 312366 367722 396738 468549 551583 937098 1103166 1405647 1613891 1654749 2811294 3227782 3309498 4216941 4841673 8433882 9683346 14525019 29050038 43575057 87150114 130725171 261450342