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194942384 = 24721331617
BaseRepresentation
bin10111001111010…
…01010110110000
3111120211002200022
423213221112300
5344401124014
631202143012
74554661100
oct1347512660
9446732608
10194942384
11a004910a
1255351a68
1331506230
141bc67200
15121aaa8e
hexb9e95b0

194942384 has 120 divisors (see below), whose sum is σ = 489218688. Its totient is φ = 74511360.

The previous prime is 194942311. The next prime is 194942389. The reversal of 194942384 is 483249491.

194942384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (194942389) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315644 + ... + 316260.

Almost surely, 2194942384 is an apocalyptic number.

194942384 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 194942384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244609344).

194942384 is an abundant number, since it is smaller than the sum of its proper divisors (294276304).

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

194942384 is a wasteful number, since it uses less digits than its factorization.

194942384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 670 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 194942384 is about 13962.1769076316. The cubic root of 194942384 is about 579.8318815158.

The spelling of 194942384 in words is "one hundred ninety-four million, nine hundred forty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 49 52 56 62 91 98 104 112 124 182 196 208 217 248 364 392 403 434 496 617 637 728 784 806 868 1234 1274 1456 1519 1612 1736 2468 2548 2821 3038 3224 3472 4319 4936 5096 5642 6076 6448 8021 8638 9872 10192 11284 12152 16042 17276 19127 19747 22568 24304 30233 32084 34552 38254 39494 45136 56147 60466 64168 69104 76508 78988 112294 120932 128336 133889 153016 157976 224588 241864 248651 267778 306032 315952 393029 449176 483728 497302 535556 786058 898352 937223 994604 1071112 1572116 1740557 1874446 1989208 2142224 3144232 3481114 3748892 3978416 6288464 6962228 7497784 12183899 13924456 14995568 24367798 27848912 48735596 97471192 194942384