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34823241 = 324019649
BaseRepresentation
bin1000010011010…
…1110001001001
32102112012111200
42010311301021
532403320431
63242214413
7601664325
oct204656111
972465450
1034823241
1118725242
12b7b4409
1372a348b
1448a6985
1530ccee6
hex2135c49

34823241 has 12 divisors (see below), whose sum is σ = 50430900. Its totient is φ = 23155200.

The previous prime is 34823233. The next prime is 34823251. The reversal of 34823241 is 14232843.

34823241 = 712 + 722 + ... + 4712.

It can be written as a sum of positive squares in 2 ways, for example, as 21427641 + 13395600 = 4629^2 + 3660^2 .

It is not a de Polignac number, because 34823241 - 23 = 34823233 is a prime.

It is a super-2 number, since 2×348232412 = 2425316227488162, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34823251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216 + ... + 8433.

It is an arithmetic number, because the mean of its divisors is an integer number (4202575).

Almost surely, 234823241 is an apocalyptic number.

It is an amenable number.

34823241 is a deficient number, since it is larger than the sum of its proper divisors (15607659).

34823241 is a wasteful number, since it uses less digits than its factorization.

34823241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10053 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34823241 is about 5901.1220119567. The cubic root of 34823241 is about 326.5550438886. Note that the first 3 decimals are identical.

The spelling of 34823241 in words is "thirty-four million, eight hundred twenty-three thousand, two hundred forty-one".

Divisors: 1 3 9 401 1203 3609 9649 28947 86841 3869249 11607747 34823241