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5760342 = 23373311
BaseRepresentation
bin10101111110010101010110
3101211122201000
4111332111112
52433312332
6323244130
766651000
oct25762526
911748630
105760342
113284915
121b19646
131268bb3
14a9d370
1578bb7c
hex57e556

5760342 has 64 divisors (see below), whose sum is σ = 14976000. Its totient is φ = 1640520.

The previous prime is 5760311. The next prime is 5760343. The reversal of 5760342 is 2430675.

It is a happy number.

5760342 is a `hidden beast` number, since 57 + 603 + 4 + 2 = 666.

It is a super-3 number, since 3×57603423 (a number of 21 digits) contains 333 as substring.

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

It is a nialpdrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5760343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18367 + ... + 18677.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 25760342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488000).

5760342 is an abundant number, since it is smaller than the sum of its proper divisors (9215658).

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

5760342 is a wasteful number, since it uses less digits than its factorization.

5760342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5760342 is about 2400.0712489424. The cubic root of 5760342 is about 179.2597375708.

The spelling of 5760342 in words is "five million, seven hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 311 343 378 441 622 686 882 933 1029 1323 1866 2058 2177 2646 2799 3087 4354 5598 6174 6531 8397 9261 13062 15239 16794 18522 19593 30478 39186 45717 58779 91434 106673 117558 137151 213346 274302 320019 411453 640038 822906 960057 1920114 2880171 5760342