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32344220241 = 3644367929
BaseRepresentation
bin11110000111110111…
…011010001001010001
310002111010100122000000
4132013313122021101
51012220110021431
622505252520213
72223343223124
oct360767321121
9102433318000
1032344220241
1112798518433
126328020069
133085c50978
1417cb9083bb
15c948329e6
hex787dda251

32344220241 has 14 divisors (see below), whose sum is σ = 48494147490. Its totient is φ = 21562813008.

The previous prime is 32344220221. The next prime is 32344220287. The reversal of 32344220241 is 14202244323.

32344220241 is a `hidden beast` number, since 3 + 234 + 422 + 0 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29413622016 + 2930598225 = 171504^2 + 54135^2 .

It is not a de Polignac number, because 32344220241 - 27 = 32344220113 is a prime.

It is a super-2 number, since 2×323442202412 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32344220221) 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 13 ways as a sum of consecutive naturals, for example, 22183236 + ... + 22184693.

Almost surely, 232344220241 is an apocalyptic number.

It is an amenable number.

32344220241 is a deficient number, since it is larger than the sum of its proper divisors (16149927249).

32344220241 is an frugal number, since it uses more digits than its factorization.

32344220241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44367947 (or 44367932 counting only the distinct ones).

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

Adding to 32344220241 its reverse (14202244323), we get a palindrome (46546464564).

The spelling of 32344220241 in words is "thirty-two billion, three hundred forty-four million, two hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 27 81 243 729 44367929 133103787 399311361 1197934083 3593802249 10781406747 32344220241