Search a number
-
+
234814041 = 32711595743
BaseRepresentation
bin11011111111011…
…11101001011001
3121100211210022100
431333233221121
5440103022131
635144514013
75550613020
oct1577575131
9540753270
10234814041
111106012a0
126677b909
1339856527
14232858b7
15159347e6
hexdfefa59

234814041 has 48 divisors (see below), whose sum is σ = 430110720. Its totient is φ = 119892960.

The previous prime is 234814039. The next prime is 234814087. The reversal of 234814041 is 140418432.

It is not a de Polignac number, because 234814041 - 21 = 234814039 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 234813996 and 234814014.

It is not an unprimeable number, because it can be changed into a prime (234814241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38016 + ... + 43758.

It is an arithmetic number, because the mean of its divisors is an integer number (8960640).

Almost surely, 2234814041 is an apocalyptic number.

234814041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

234814041 is a deficient number, since it is larger than the sum of its proper divisors (195296679).

234814041 is a wasteful number, since it uses less digits than its factorization.

234814041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 234814041 is about 15323.6432025808. The cubic root of 234814041 is about 616.9377626973.

The spelling of 234814041 in words is "two hundred thirty-four million, eight hundred fourteen thousand, forty-one".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5743 5841 13629 17229 40201 40887 51687 63173 120603 189519 338837 361809 442211 568557 1016511 1326633 2371859 3049533 3727207 3979899 7115577 11181621 21346731 26090449 33544863 78271347 234814041