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378468168 = 233132115749
BaseRepresentation
bin10110100011101…
…111011101001000
3222101011011201120
4112203233131020
51233341440133
6101315515240
712243632511
oct2643573510
9871134646
10378468168
111846a9811
12a68b8b20
1360542b80
143839ba08
152335dab3
hex168ef748

378468168 has 64 divisors (see below), whose sum is σ = 1023960000. Its totient is φ = 115879680.

The previous prime is 378468157. The next prime is 378468169. The reversal of 378468168 is 861864873.

It is a self number, because there is not a number n which added to its sum of digits gives 378468168.

It is not an unprimeable number, because it can be changed into a prime (378468169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62958 + ... + 68706.

It is an arithmetic number, because the mean of its divisors is an integer number (15999375).

Almost surely, 2378468168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378468168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511980000).

378468168 is an abundant number, since it is smaller than the sum of its proper divisors (645491832).

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

378468168 is a wasteful number, since it uses less digits than its factorization.

378468168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5982 (or 5978 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 378468168 is about 19454.2583513225. The cubic root of 378468168 is about 723.3410617837.

The spelling of 378468168 in words is "three hundred seventy-eight million, four hundred sixty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 211 312 422 633 844 1266 1688 2532 2743 5064 5486 5749 8229 10972 11498 16458 17247 21944 22996 32916 34494 45992 65832 68988 74737 137976 149474 224211 298948 448422 597896 896844 1213039 1793688 2426078 3639117 4852156 7278234 9704312 14556468 15769507 29112936 31539014 47308521 63078028 94617042 126156056 189234084 378468168