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32342313324 = 223731011732113
BaseRepresentation
bin11110000111110000…
…001000100101101100
310002110222202202012110
4132013300020211230
51012214113011244
622505144004020
72223321061446
oct360760104554
9102428682173
1032342313324
1112797435772
126327460610
133085733a09
1417cb56d496
15c945a79b9
hex787c0896c

32342313324 has 96 divisors (see below), whose sum is σ = 77739931584. Its totient is φ = 10462003200.

The previous prime is 32342313319. The next prime is 32342313343. The reversal of 32342313324 is 42331324323.

It is a super-2 number, since 2×323423133242 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 32342313291 and 32342313300.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15305292 + ... + 15307404.

It is an arithmetic number, because the mean of its divisors is an integer number (809790954).

Almost surely, 232342313324 is an apocalyptic number.

It is an amenable number.

32342313324 is an abundant number, since it is smaller than the sum of its proper divisors (45397618260).

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

32342313324 is a wasteful number, since it uses less digits than its factorization.

32342313324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2465 counting only the distinct ones).

The product of its digits is 31104, while the sum is 30.

Adding to 32342313324 its reverse (42331324323), we get a palindrome (74673637647).

The spelling of 32342313324 in words is "thirty-two billion, three hundred forty-two million, three hundred thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 73 101 146 173 202 219 292 303 346 404 438 519 606 692 876 1038 1212 2076 2113 4226 6339 7373 8452 12629 12678 14746 17473 22119 25258 25356 29492 34946 37887 44238 50516 52419 69892 75774 88476 104838 151548 154249 209676 213413 308498 365549 426826 462747 616996 640239 731098 853652 925494 1096647 1275529 1280478 1462196 1850988 2193294 2551058 2560956 3826587 4386588 5102116 7653174 15306348 15579149 26685077 31158298 36920449 46737447 53370154 62316596 73840898 80055231 93474894 106740308 110761347 147681796 160110462 186949788 221522694 320220924 443045388 2695192777 5390385554 8085578331 10780771108 16171156662 32342313324