Search a number
-
+
196414344 = 23327255673
BaseRepresentation
bin10111011010100…
…00101110001000
3111200120212211100
423231100232020
5400240224334
631253501400
74603331400
oct1355205610
9450525740
10196414344
11a0964005
1255941860
1331900209
141c12b800
151239bc99
hexbb50b88

196414344 has 72 divisors (see below), whose sum is σ = 618816510. Its totient is φ = 56117376.

The previous prime is 196414321. The next prime is 196414349. The reversal of 196414344 is 443414691.

It is a happy number.

196414344 is a `hidden beast` number, since 1 + 9 + 641 + 4 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133402500 + 63011844 = 11550^2 + 7938^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 196414299 and 196414308.

It is not an unprimeable number, because it can be changed into a prime (196414349) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24309 + ... + 31364.

Almost surely, 2196414344 is an apocalyptic number.

196414344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

196414344 is an abundant number, since it is smaller than the sum of its proper divisors (422402166).

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

196414344 is a wasteful number, since it uses less digits than its factorization.

196414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55699 (or 55685 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 196414344 is about 14014.7901875126. The cubic root of 196414344 is about 581.2876110244.

The spelling of 196414344 in words is "one hundred ninety-six million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 55673 111346 167019 222692 334038 389711 445384 501057 668076 779422 1002114 1169133 1336152 1558844 2004228 2338266 2727977 3117688 3507399 4008456 4676532 5455954 7014798 8183931 9353064 10911908 14029596 16367862 21823816 24551793 28059192 32735724 49103586 65471448 98207172 196414344