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194331312 = 2434731691
BaseRepresentation
bin10111001010101…
…00001010110000
3111112200001110000
423211110022300
5344222100222
631141110000
74546534410
oct1345241260
9445601400
10194331312
119a770a9a
12550b8300
1331351056
141bb48640
15120d99ac
hexb9542b0

194331312 has 200 divisors, whose sum is σ = 664497152. Its totient is φ = 53654400.

The previous prime is 194331311. The next prime is 194331377. The reversal of 194331312 is 213133491.

194331312 is a `hidden beast` number, since 19 + 4 + 331 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (194331311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 280887 + ... + 281577.

Almost surely, 2194331312 is an apocalyptic number.

194331312 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 194331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332248576).

194331312 is an abundant number, since it is smaller than the sum of its proper divisors (470165840).

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

194331312 is a wasteful number, since it uses less digits than its factorization.

194331312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 734 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 194331312 is about 13940.2766113159. The cubic root of 194331312 is about 579.2253948096.

The spelling of 194331312 in words is "one hundred ninety-four million, three hundred thirty-one thousand, three hundred twelve".