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1324334112 = 253234114629
BaseRepresentation
bin100111011101111…
…1011110000100000
310102021222010212120
41032323323300200
510203012142422
6335225024240
744550440253
oct11673736040
93367863776
101324334112
1161a608902
1230b625080
131814a806a
14c7c5709a
157b3ea45c
hex4eefbc20

1324334112 has 96 divisors (see below), whose sum is σ = 3716254080. Its totient is φ = 411924480.

The previous prime is 1324334101. The next prime is 1324334129. The reversal of 1324334112 is 2114334231.

It is a happy number.

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 (24).

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

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 15 ways as a sum of consecutive naturals, for example, 83214 + ... + 97842.

It is an arithmetic number, because the mean of its divisors is an integer number (38710980).

Almost surely, 21324334112 is an apocalyptic number.

1324334112 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 1324334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858127040).

1324334112 is an abundant number, since it is smaller than the sum of its proper divisors (2391919968).

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

1324334112 is a wasteful number, since it uses less digits than its factorization.

1324334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14706 (or 14698 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 1324334112 is about 36391.4016218117. The cubic root of 1324334112 is about 1098.1605930978.

Adding to 1324334112 its reverse (2114334231), we get a palindrome (3438668343).

The spelling of 1324334112 in words is "one billion, three hundred twenty-four million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 41 46 48 69 82 92 96 123 138 164 184 246 276 328 368 492 552 656 736 943 984 1104 1312 1886 1968 2208 2829 3772 3936 5658 7544 11316 14629 15088 22632 29258 30176 43887 45264 58516 87774 90528 117032 175548 234064 336467 351096 468128 599789 672934 702192 1009401 1199578 1345868 1404384 1799367 2018802 2399156 2691736 3598734 4037604 4798312 5383472 7197468 8075208 9596624 10766944 13795147 14394936 16150416 19193248 27590294 28789872 32300832 41385441 55180588 57579744 82770882 110361176 165541764 220722352 331083528 441444704 662167056 1324334112