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32243240406 = 231315722311807
BaseRepresentation
bin11110000001110110…
…001100110111010110
310002020002100022201010
4132001312030313112
51012013232143111
622451244313050
72221006010226
oct360166146726
9102202308633
1032243240406
1112746517823
1262ba242786
13306b0561a0
1417bc340086
15c8aa37aa6
hex781d8cdd6

32243240406 has 64 divisors (see below), whose sum is σ = 70208667648. Its totient is φ = 9812769408.

The previous prime is 32243240401. The next prime is 32243240429. The reversal of 32243240406 is 60404234223.

It is a super-2 number, since 2×322432404062 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32243240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2724955 + ... + 2736761.

It is an arithmetic number, because the mean of its divisors is an integer number (1097010432).

Almost surely, 232243240406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32243240406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35104333824).

32243240406 is an abundant number, since it is smaller than the sum of its proper divisors (37965427242).

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

32243240406 is a wasteful number, since it uses less digits than its factorization.

32243240406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12205.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 32243240406 its reverse (60404234223), we get a palindrome (92647474629).

The spelling of 32243240406 in words is "thirty-two billion, two hundred forty-three million, two hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 13 26 39 78 157 223 314 446 471 669 942 1338 2041 2899 4082 5798 6123 8697 11807 12246 17394 23614 35011 35421 70022 70842 105033 153491 210066 306982 455143 460473 910286 920946 1365429 1853699 2632961 2730858 3707398 5265922 5561097 7898883 11122194 15797766 24098087 34228493 48196174 68456986 72294261 102685479 144588522 205370958 413374877 826749754 1240124631 2480249262 5373873401 10747746802 16121620203 32243240406