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232348641 = 3723742719
BaseRepresentation
bin11011101100101…
…01101111100001
3121012012112102020
431312111233201
5433440124031
635020012053
75520634200
oct1566255741
9535175366
10232348641
1110a177a78
1265991029
13391a2305
1422c03237
15155e9096
hexdd95be1

232348641 has 24 divisors (see below), whose sum is σ = 370126080. Its totient is φ = 129179232.

The previous prime is 232348631. The next prime is 232348703. The reversal of 232348641 is 146843232.

It is not a de Polignac number, because 232348641 - 210 = 232347617 is a prime.

It is a super-3 number, since 3×2323486413 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (232348601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15921 + ... + 26798.

It is an arithmetic number, because the mean of its divisors is an integer number (15421920).

Almost surely, 2232348641 is an apocalyptic number.

232348641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

232348641 is a deficient number, since it is larger than the sum of its proper divisors (137777439).

232348641 is a wasteful number, since it uses less digits than its factorization.

232348641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42773 (or 42766 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 232348641 is about 15242.9866168018. The cubic root of 232348641 is about 614.7710086727.

The spelling of 232348641 in words is "two hundred thirty-two million, three hundred forty-eight thousand, six hundred forty-one".

Divisors: 1 3 7 21 37 49 111 147 259 777 1813 5439 42719 128157 299033 897099 1580603 2093231 4741809 6279693 11064221 33192663 77449547 232348641