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32324334112 = 2572101401509
BaseRepresentation
bin11110000110101011…
…100011001000100000
310002102201221022100201
4132012223203020200
51012200012142422
622503302354544
72223012210100
oct360653431040
9102381838321
1032324334112
1112788275714
12632142ba54
133081aaa325
1417c900d200
15c92c05727
hex786ae3220

32324334112 has 144 divisors (see below), whose sum is σ = 75095135640. Its totient is φ = 13655040000.

The previous prime is 32324334109. The next prime is 32324334121. The reversal of 32324334112 is 21143342323.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27133996176 + 5190337936 = 164724^2 + 72044^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63505314 + ... + 63505822.

Almost surely, 232324334112 is an apocalyptic number.

32324334112 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 32324334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37547567820).

32324334112 is an abundant number, since it is smaller than the sum of its proper divisors (42770801528).

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

32324334112 is a wasteful number, since it uses less digits than its factorization.

32324334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1020 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

Adding to 32324334112 its reverse (21143342323), we get a palindrome (53467676435).

The spelling of 32324334112 in words is "thirty-two billion, three hundred twenty-four million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 101 112 196 202 224 392 401 404 509 707 784 802 808 1018 1414 1568 1604 1616 2036 2807 2828 3208 3232 3563 4072 4949 5614 5656 6416 7126 8144 9898 11228 11312 12832 14252 16288 19649 19796 22456 22624 24941 28504 39298 39592 40501 44912 49882 51409 57008 78596 79184 81002 89824 99764 102818 114016 157192 158368 162004 199528 204109 205636 283507 314384 324008 359863 399056 408218 411272 567014 628768 648016 719726 798112 816436 822544 1134028 1296032 1428763 1439452 1632872 1645088 1984549 2268056 2519041 2857526 2878904 3265744 3969098 4536112 5038082 5715052 5757808 6531488 7938196 9072224 10001341 10076164 11430104 11515616 15876392 20002682 20152328 20615009 22860208 31752784 40005364 40304656 41230018 45720416 63505568 80010728 80609312 82460036 144305063 160021456 164920072 288610126 320042912 329840144 577220252 659680288 1010135441 1154440504 2020270882 2308881008 4040541764 4617762016 8081083528 16162167056 32324334112