Search a number
-
+
32323642344 = 2332765539787
BaseRepresentation
bin11110000110101000…
…111010001111101000
310002102200122011102200
4132012220322033220
51012144323023334
622503235500200
72223003266220
oct360650721750
9102380564380
1032323642344
1112787942a04
126321157660
1330818c74b6
1417c8cad080
15c92b1a799
hex786a3a3e8

32323642344 has 96 divisors (see below), whose sum is σ = 100074861120. Its totient is φ = 9232973568.

The previous prime is 32323642331. The next prime is 32323642349. The reversal of 32323642344 is 44324632323.

32323642344 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 3 + 642 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 32323642299 and 32323642308.

It is not an unprimeable number, because it can be changed into a prime (32323642349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3297819 + ... + 3307605.

It is an arithmetic number, because the mean of its divisors is an integer number (1042446470).

Almost surely, 232323642344 is an apocalyptic number.

It is an amenable number.

32323642344 is an abundant number, since it is smaller than the sum of its proper divisors (67751218776).

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

32323642344 is a wasteful number, since it uses less digits than its factorization.

32323642344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16359 (or 16352 counting only the distinct ones).

The product of its digits is 248832, while the sum is 36.

The spelling of 32323642344 in words is "thirty-two billion, three hundred twenty-three million, six hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 6553 9787 13106 19574 19659 26212 29361 39148 39318 45871 52424 58722 58977 68509 78296 78636 88083 91742 117444 117954 137018 137613 157272 176166 183484 205527 234888 235908 274036 275226 352332 366968 411054 412839 471816 548072 550452 616581 704664 822108 825678 1100904 1233162 1644216 1651356 2466324 3302712 4932648 64134211 128268422 192402633 256536844 384805266 448939477 513073688 577207899 769610532 897878954 1154415798 1346818431 1539221064 1795757908 2308831596 2693636862 3591515816 4040455293 4617663192 5387273724 8080910586 10774547448 16161821172 32323642344