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168111384 = 23374332311
BaseRepresentation
bin10100000010100…
…10110100011000
3102201022221110120
422001102310120
5321014031014
624403113240
74110631440
oct1201226430
9381287416
10168111384
1186992631
1248372820
1328aa07bc
1418481120
15eb5aba9
hexa052d18

168111384 has 64 divisors (see below), whose sum is σ = 481635840. Its totient is φ = 47900160.

The previous prime is 168111353. The next prime is 168111401. The reversal of 168111384 is 483111861.

It is a happy number.

It is a super-2 number, since 2×1681113842 = 56522874860790912, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71589 + ... + 73899.

It is an arithmetic number, because the mean of its divisors is an integer number (7525560).

Almost surely, 2168111384 is an apocalyptic number.

168111384 is a gapful number since it is divisible by the number (14) 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 168111384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240817920).

168111384 is an abundant number, since it is smaller than the sum of its proper divisors (313524456).

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

168111384 is a wasteful number, since it uses less digits than its factorization.

168111384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2756 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 168111384 is about 12965.7774159516. Note that the first 3 decimals coincide. The cubic root of 168111384 is about 551.9067527850.

The spelling of 168111384 in words is "one hundred sixty-eight million, one hundred eleven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 433 866 1299 1732 2311 2598 3031 3464 4622 5196 6062 6933 9093 9244 10392 12124 13866 16177 18186 18488 24248 27732 32354 36372 48531 55464 64708 72744 97062 129416 194124 388248 1000663 2001326 3001989 4002652 6003978 7004641 8005304 12007956 14009282 21013923 24015912 28018564 42027846 56037128 84055692 168111384