Search a number
-
+
232384464001 = 1731343673081
BaseRepresentation
bin1101100001101100110…
…0011000010010000001
3211012211021100220120001
43120123030120102001
512301410410322001
6254431141320001
722534463231644
oct3303314302201
9735737326501
10232384464001
118a60aa76338
1239055106001
1318bb56c0601
14b3670a3a5b
1560a15a6001
hex361b318481

232384464001 has 8 divisors (see below), whose sum is σ = 246840259464. Its totient is φ = 218016015360.

The previous prime is 232384463989. The next prime is 232384464017. The reversal of 232384464001 is 100464483232.

It can be written as a sum of positive squares in 4 ways, for example, as 99022401 + 232285441600 = 9951^2 + 481960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 232384464001 - 215 = 232384431233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232384464041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21831220 + ... + 21841861.

It is an arithmetic number, because the mean of its divisors is an integer number (30855032433).

Almost surely, 2232384464001 is an apocalyptic number.

It is an amenable number.

232384464001 is a deficient number, since it is larger than the sum of its proper divisors (14455795463).

232384464001 is a wasteful number, since it uses less digits than its factorization.

232384464001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43673411.

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 232384464001 in words is "two hundred thirty-two billion, three hundred eighty-four million, four hundred sixty-four thousand, one".

Divisors: 1 17 313 5321 43673081 742442377 13669674353 232384464001