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194484384 = 25326710079
BaseRepresentation
bin10111001011110…
…01100010100000
3111112221211102100
423211321202200
5344242000014
631144250400
74551042603
oct1345714240
9445854370
10194484384
119a865aa6
1255170a00
13313a5923
141bb8833a
151211a009
hexb9798a0

194484384 has 72 divisors (see below), whose sum is σ = 561375360. Its totient is φ = 63854208.

The previous prime is 194484379. The next prime is 194484391. The reversal of 194484384 is 483484491.

194484384 is a `hidden beast` number, since 1 + 94 + 484 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 14257 + ... + 24335.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2194484384 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 194484384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280687680).

194484384 is an abundant number, since it is smaller than the sum of its proper divisors (366890976).

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

194484384 is a wasteful number, since it uses less digits than its factorization.

194484384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10162 (or 10151 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 194484384 is about 13945.7658090189. The cubic root of 194484384 is about 579.3774374206.

It can be divided in two parts, 19448 and 4384, that added together give a palindrome (23832).

The spelling of 194484384 in words is "one hundred ninety-four million, four hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3216 4824 6432 9648 10079 19296 20158 30237 40316 60474 80632 90711 120948 161264 181422 241896 322528 362844 483792 675293 725688 967584 1350586 1451376 2025879 2701172 2902752 4051758 5402344 6077637 8103516 10804688 12155274 16207032 21609376 24310548 32414064 48621096 64828128 97242192 194484384