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323114112 = 2732416841
BaseRepresentation
bin10011010000100…
…101010010000000
3211111222220020100
4103100211102000
51130204122422
652021242400
711002265436
oct2320452200
9744886210
10323114112
11156431462
1290263400
1351c317a9
1430cacd56
151d5777ac
hex13425480

323114112 has 96 divisors (see below), whose sum is σ = 952611660. Its totient is φ = 105062400.

The previous prime is 323114101. The next prime is 323114117. The reversal of 323114112 is 211411323.

It can be written as a sum of positive squares in 2 ways, for example, as 316270656 + 6843456 = 17784^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (323114117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43812 + ... + 50652.

Almost surely, 2323114112 is an apocalyptic number.

323114112 is a gapful number since it is divisible by the number (32) 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 323114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476305830).

323114112 is an abundant number, since it is smaller than the sum of its proper divisors (629497548).

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

323114112 is a wasteful number, since it uses less digits than its factorization.

323114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6902 (or 6887 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 323114112 is about 17975.3751560294. The cubic root of 323114112 is about 686.2019935164.

Adding to 323114112 its reverse (211411323), we get a palindrome (534525435).

The spelling of 323114112 in words is "three hundred twenty-three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 288 328 369 384 492 576 656 738 984 1152 1312 1476 1968 2624 2952 3936 5248 5904 6841 7872 11808 13682 15744 20523 23616 27364 41046 47232 54728 61569 82092 109456 123138 164184 218912 246276 280481 328368 437824 492552 560962 656736 841443 875648 985104 1121924 1313472 1682886 1970208 2243848 2524329 2626944 3365772 3940416 4487696 5048658 6731544 7880832 8975392 10097316 13463088 17950784 20194632 26926176 35901568 40389264 53852352 80778528 107704704 161557056 323114112