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381677168 = 24195323689
BaseRepresentation
bin10110101111111…
…110111001110000
3222121012012122102
4112233332321300
51240202132133
6101512355532
712313126265
oct2657767160
9877165572
10381677168
111864a0784
12a79a5ba8
13610c76a2
143899526c
15237947e8
hex16bfee70

381677168 has 40 divisors (see below), whose sum is σ = 793141200. Its totient is φ = 177375744.

The previous prime is 381677167. The next prime is 381677189. The reversal of 381677168 is 861776183.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381677161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4268 + ... + 27956.

It is an arithmetic number, because the mean of its divisors is an integer number (19828530).

Almost surely, 2381677168 is an apocalyptic number.

381677168 is a gapful number since it is divisible by the number (38) 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 381677168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396570600).

381677168 is an abundant number, since it is smaller than the sum of its proper divisors (411464032).

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

381677168 is a wasteful number, since it uses less digits than its factorization.

381677168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23769 (or 23763 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 381677168 is about 19536.5597790399. The cubic root of 381677168 is about 725.3796936228.

The spelling of 381677168 in words is "three hundred eighty-one million, six hundred seventy-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 848 1007 2014 4028 8056 16112 23689 47378 94756 189512 379024 450091 900182 1255517 1800364 2511034 3600728 5022068 7201456 10044136 20088272 23854823 47709646 95419292 190838584 381677168