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324314112 = 2103193547
BaseRepresentation
bin10011010101001…
…010010000000000
3211121020212022210
4103111022100000
51131011022422
652103102120
711015424123
oct2325122000
9747225283
10324314112
11157080aa1
1290741940
1352261a55
14311023ba
151d71310c
hex1354a400

324314112 has 88 divisors (see below), whose sum is σ = 870482656. Its totient is φ = 107347968.

The previous prime is 324314077. The next prime is 324314113. The reversal of 324314112 is 211413423.

It is a super-3 number, since 3×3243141123 (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (324314113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 592623 + ... + 593169.

Almost surely, 2324314112 is an apocalyptic number.

324314112 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 324314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435241328).

324314112 is an abundant number, since it is smaller than the sum of its proper divisors (546168544).

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

324314112 is a wasteful number, since it uses less digits than its factorization.

324314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 745 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 324314112 is about 18008.7232195956. The cubic root of 324314112 is about 687.0504296952.

Adding to 324314112 its reverse (211413423), we get a palindrome (535727535).

The spelling of 324314112 in words is "three hundred twenty-four million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 256 384 386 512 547 579 768 772 1024 1094 1158 1536 1544 1641 2188 2316 3072 3088 3282 4376 4632 6176 6564 8752 9264 12352 13128 17504 18528 24704 26256 35008 37056 49408 52512 70016 74112 98816 105024 105571 140032 148224 197632 210048 211142 280064 296448 316713 420096 422284 560128 592896 633426 840192 844568 1266852 1680384 1689136 2533704 3378272 5067408 6756544 10134816 13513088 20269632 27026176 40539264 54052352 81078528 108104704 162157056 324314112