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168942312 = 233271131983
BaseRepresentation
bin10100001000111…
…01101011101000
3102202220011021200
422010131223220
5321222123222
624433004200
74120662120
oct1204355350
9382804250
10168942312
11873aa950
12486b3660
1329001a86
1418619c80
15ec71eac
hexa11dae8

168942312 has 192 divisors, whose sum is σ = 589455360. Its totient is φ = 42422400.

The previous prime is 168942307. The next prime is 168942329. The reversal of 168942312 is 213249861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171373 + ... + 172355.

It is an arithmetic number, because the mean of its divisors is an integer number (3070080).

Almost surely, 2168942312 is an apocalyptic number.

168942312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168942312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294727680).

168942312 is an abundant number, since it is smaller than the sum of its proper divisors (420513048).

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

168942312 is a wasteful number, since it uses less digits than its factorization.

168942312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 168942312 is about 12997.7810413932. The cubic root of 168942312 is about 552.8145661295.

The spelling of 168942312 in words is "one hundred sixty-eight million, nine hundred forty-two thousand, three hundred twelve".