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331261542 = 23319216993
BaseRepresentation
bin10011101111101…
…010011001100110
3212002022211102000
4103233222121212
51134300332132
652512030130
711131451043
oct2357523146
9762284360
10331261542
1115aa96777
1292b32346
1353825061
1431dd01ca
151e13687c
hex13bea666

331261542 has 48 divisors (see below), whose sum is σ = 776965680. Its totient is φ = 104602752.

The previous prime is 331261529. The next prime is 331261543. The reversal of 331261542 is 245162133.

331261542 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 615 + 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 (331261543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10998 + ... + 27990.

It is an arithmetic number, because the mean of its divisors is an integer number (16186785).

Almost surely, 2331261542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331261542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388482840).

331261542 is an abundant number, since it is smaller than the sum of its proper divisors (445704138).

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

331261542 is a wasteful number, since it uses less digits than its factorization.

331261542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17042 (or 17017 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 331261542 is about 18200.5918035651. The cubic root of 331261542 is about 691.9217880243.

The spelling of 331261542 in words is "three hundred thirty-one million, two hundred sixty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 2166 3249 6498 9747 16993 19494 33986 50979 101958 152937 305874 322867 458811 645734 917622 968601 1937202 2905803 5811606 6134473 8717409 12268946 17434818 18403419 36806838 55210257 110420514 165630771 331261542