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12342323232 = 2532229187141
BaseRepresentation
bin10110111111010100…
…01110100000100000
31011212011020222112200
423133222032200200
5200234113320412
65400414453200
7614566005441
oct133752164040
934764228480
1012342323232
115263a13138
122485504200
131219060755
1485128b2c8
154c383e9dc
hex2dfa8e820

12342323232 has 72 divisors (see below), whose sum is σ = 35251938540. Its totient is φ = 4096120320.

The previous prime is 12342323197. The next prime is 12342323251. The reversal of 12342323232 is 23232324321.

12342323232 is a `hidden beast` number, since 1 + 2 + 3 + 423 + 2 + 3 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12259804176 + 82519056 = 110724^2 + 9084^2 .

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 a junction number, because it is equal to n+sod(n) for n = 12342323196 and 12342323205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27619 + ... + 159522.

Almost surely, 212342323232 is an apocalyptic number.

12342323232 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 12342323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625969270).

12342323232 is an abundant number, since it is smaller than the sum of its proper divisors (22909615308).

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

12342323232 is a wasteful number, since it uses less digits than its factorization.

12342323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187386 (or 187375 counting only the distinct ones).

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

Adding to 12342323232 its reverse (23232324321), we get a palindrome (35574647553).

The spelling of 12342323232 in words is "twelve billion, three hundred forty-two million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 229 288 458 687 916 1374 1832 2061 2748 3664 4122 5496 7328 8244 10992 16488 21984 32976 65952 187141 374282 561423 748564 1122846 1497128 1684269 2245692 2994256 3368538 4491384 5988512 6737076 8982768 13474152 17965536 26948304 42855289 53896608 85710578 128565867 171421156 257131734 342842312 385697601 514263468 685684624 771395202 1028526936 1371369248 1542790404 2057053872 3085580808 4114107744 6171161616 12342323232