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233476340 = 22529094013
BaseRepresentation
bin11011110101010…
…01000011110100
3121021022211022212
431322221003310
5434232220330
635100112552
75533342016
oct1572510364
9537284285
10233476340
1110a878259
1266235758
13394a86a6
14230181b6
151576d295
hexdea90f4

233476340 has 24 divisors (see below), whose sum is σ = 490591080. Its totient is φ = 93335168.

The previous prime is 233476339. The next prime is 233476343. The reversal of 233476340 is 43674332.

It can be written as a sum of positive squares in 4 ways, for example, as 100120036 + 133356304 = 10006^2 + 11548^2 .

It is a super-3 number, since 3×2334763403 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 233476297 and 233476306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233476343) 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, 56174 + ... + 60186.

It is an arithmetic number, because the mean of its divisors is an integer number (20441295).

Almost surely, 2233476340 is an apocalyptic number.

233476340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233476340 is an abundant number, since it is smaller than the sum of its proper divisors (257114740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233476340 is a wasteful number, since it uses less digits than its factorization.

233476340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6931 (or 6929 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The square root of 233476340 is about 15279.9325914743. The cubic root of 233476340 is about 615.7639964263.

The spelling of 233476340 in words is "two hundred thirty-three million, four hundred seventy-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 2909 4013 5818 8026 11636 14545 16052 20065 29090 40130 58180 80260 11673817 23347634 46695268 58369085 116738170 233476340