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323334134112 = 25311306187627
BaseRepresentation
bin1001011010010000011…
…01110101100101100000
31010220120201012212011110
410231020031311211200
520244142014242422
6404312044343320
732234343536013
oct4551015654540
91126521185143
10323334134112
11115141764660
12527b7b44b40
132464b1aa462
141191416b37a
158625ec160c
hex4b48375960

323334134112 has 48 divisors (see below), whose sum is σ = 925911387072. Its totient is φ = 97980040320.

The previous prime is 323334134093. The next prime is 323334134177. The reversal of 323334134112 is 211431433323.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 323334134112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 153092758 + ... + 153094869.

It is an arithmetic number, because the mean of its divisors is an integer number (19289820564).

Almost surely, 2323334134112 is an apocalyptic number.

323334134112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

323334134112 is an abundant number, since it is smaller than the sum of its proper divisors (602577252960).

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

323334134112 is a wasteful number, since it uses less digits than its factorization.

323334134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306187651 (or 306187643 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 323334134112 its reverse (211431433323), we get a palindrome (534765567435).

It can be divided in two parts, 323334 and 134112, that added together give a triangular number (457446 = T956).

The spelling of 323334134112 in words is "three hundred twenty-three billion, three hundred thirty-four million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 306187627 612375254 918562881 1224750508 1837125762 2449501016 3368063897 3674251524 4899002032 6736127794 7348503048 9798004064 10104191691 13472255588 14697006096 20208383382 26944511176 29394012192 40416766764 53889022352 80833533528 107778044704 161667067056 323334134112