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230404410 = 23252560049
BaseRepresentation
bin11011011101110…
…11000100111010
3121001112202102200
431232323010322
5432440420120
634510211030
75465255655
oct1556730472
9531482380
10230404410
1110906a275
12651b3a76
1338971392
142285889c
1515362e90
hexdbbb13a

230404410 has 24 divisors (see below), whose sum is σ = 599051700. Its totient is φ = 61441152.

The previous prime is 230404403. The next prime is 230404429. The reversal of 230404410 is 14404032.

230404410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 207965241 + 22439169 = 14421^2 + 4737^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1279935 + ... + 1280114.

Almost surely, 2230404410 is an apocalyptic number.

230404410 is an abundant number, since it is smaller than the sum of its proper divisors (368647290).

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

230404410 is a wasteful number, since it uses less digits than its factorization.

230404410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560062 (or 2560059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230404410 is about 15179.0780352431. The cubic root of 230404410 is about 613.0514572609.

Adding to 230404410 its reverse (14404032), we get a palindrome (244808442).

It can be divided in two parts, 23040 and 4410, that multiplied together give a square (101606400 = 100802).

The spelling of 230404410 in words is "two hundred thirty million, four hundred four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2560049 5120098 7680147 12800245 15360294 23040441 25600490 38400735 46080882 76801470 115202205 230404410