Search a number
-
+
12343342032 = 243374081793
BaseRepresentation
bin10110111111011100…
…00111001111010000
31011212020011202002000
423133232013033100
5200234343421112
65400452354000
7614610450630
oct133756071720
934766152060
1012343342032
11526454961a
122485915900
1312193293a8
148514746c0
154c39917dc
hex2dfb873d0

12343342032 has 80 divisors (see below), whose sum is σ = 40491396480. Its totient is φ = 3526668288.

The previous prime is 12343342027. The next prime is 12343342069. The reversal of 12343342032 is 23024334321.

12343342032 is a `hidden beast` number, since 1 + 23 + 433 + 4 + 203 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12343341987 and 12343342005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037873 + ... + 2043920.

It is an arithmetic number, because the mean of its divisors is an integer number (506142456).

Almost surely, 212343342032 is an apocalyptic number.

12343342032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12343342032 is an abundant number, since it is smaller than the sum of its proper divisors (28148054448).

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

12343342032 is a wasteful number, since it uses less digits than its factorization.

12343342032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081817 (or 4081805 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12343342032 its reverse (23024334321), we get a palindrome (35367676353).

The spelling of 12343342032 in words is "twelve billion, three hundred forty-three million, three hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4081793 8163586 12245379 16327172 24490758 28572551 32654344 36736137 48981516 57145102 65308688 73472274 85717653 97963032 110208411 114290204 146944548 171435306 195926064 220416822 228580408 257152959 293889096 342870612 440833644 457160816 514305918 587778192 685741224 771458877 881667288 1028611836 1371482448 1542917754 1763334576 2057223672 3085835508 4114447344 6171671016 12343342032