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32242024134 = 2335329338449
BaseRepresentation
bin11110000001110001…
…100011111011000110
310002020000001112022000
4132001301203323012
51012012424233014
622451202250130
72220662453235
oct360161437306
9102200045260
1032242024134
1112745866a41
1262b9956946
13306aa1b6b8
1417bc104b1c
15c8a897509
hex781c63ec6

32242024134 has 64 divisors (see below), whose sum is σ = 73251864000. Its totient is φ = 10508299776.

The previous prime is 32242024117. The next prime is 32242024193. The reversal of 32242024134 is 43142024223.

32242024134 is a `hidden beast` number, since 3 + 2 + 242 + 0 + 2 + 413 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32242024098 and 32242024107.

It is a congruent number.

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, 819342 + ... + 857790.

It is an arithmetic number, because the mean of its divisors is an integer number (1144560375).

Almost surely, 232242024134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32242024134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36625932000).

32242024134 is an abundant number, since it is smaller than the sum of its proper divisors (41009839866).

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

32242024134 is a wasteful number, since it uses less digits than its factorization.

32242024134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38806 (or 38800 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32242024134 its reverse (43142024223), we get a palindrome (75384048357).

The spelling of 32242024134 in words is "thirty-two billion, two hundred forty-two million, twenty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 293 318 477 586 879 954 1431 1758 2637 2862 5274 7911 15529 15822 31058 38449 46587 76898 93174 115347 139761 230694 279522 346041 419283 692082 838566 1038123 2037797 2076246 4075594 6113391 11265557 12226782 18340173 22531114 33796671 36680346 55020519 67593342 101390013 110041038 202780026 304170039 597074521 608340078 1194149042 1791223563 3582447126 5373670689 10747341378 16121012067 32242024134