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168332742 = 23417193217
BaseRepresentation
bin10100000100010…
…00110111000110
3102201202012010000
422002020313012
5321043121432
624411542130
74112543004
oct1202106706
9381665100
10168332742
1187023976
124845a946
1328b4a496
14184dba74
15eba157c
hexa088dc6

168332742 has 80 divisors (see below), whose sum is σ = 420528240. Its totient is φ = 50015232.

The previous prime is 168332741. The next prime is 168332783. The reversal of 168332742 is 247233861.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168332697 and 168332706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168332741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50718 + ... + 53934.

It is an arithmetic number, because the mean of its divisors is an integer number (5256603).

Almost surely, 2168332742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168332742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210264120).

168332742 is an abundant number, since it is smaller than the sum of its proper divisors (252195498).

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

168332742 is a wasteful number, since it uses less digits than its factorization.

168332742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3258 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 168332742 is about 12974.3108487503. The cubic root of 168332742 is about 552.1488846976.

The spelling of 168332742 in words is "one hundred sixty-eight million, three hundred thirty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2754 2907 3078 3217 5814 6434 8721 9651 17442 19302 26163 28953 52326 54689 57906 61123 86859 109378 122246 164067 173718 183369 260577 328134 366738 492201 521154 550107 984402 1039091 1100214 1476603 1650321 2078182 2953206 3117273 3300642 4429809 4950963 6234546 8859618 9351819 9901926 18703638 28055457 56110914 84166371 168332742