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235410340 = 225112891093
BaseRepresentation
bin11100000100000…
…01001110100100
3121101222002021111
432002001032210
5440231112330
635205354404
75555645344
oct1602011644
9541862244
10235410340
11110979300
1266a08a04
1339a04a79
142339cd24
1515a0132a
hexe0813a4

235410340 has 72 divisors (see below), whose sum is σ = 549997560. Its totient is φ = 84564480.

The previous prime is 235410319. The next prime is 235410341. The reversal of 235410340 is 43014532.

It can be written as a sum of positive squares in 4 ways, for example, as 51753636 + 183656704 = 7194^2 + 13552^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (235410341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214834 + ... + 215926.

It is an arithmetic number, because the mean of its divisors is an integer number (7638855).

Almost surely, 2235410340 is an apocalyptic number.

235410340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235410340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274998780).

235410340 is an abundant number, since it is smaller than the sum of its proper divisors (314587220).

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

235410340 is a wasteful number, since it uses less digits than its factorization.

235410340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 235410340 is about 15343.0876944636. The cubic root of 235410340 is about 617.4595492196.

Adding to 235410340 its reverse (43014532), we get a palindrome (278424872).

The spelling of 235410340 in words is "two hundred thirty-five million, four hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 121 178 220 242 356 445 484 605 890 979 1093 1210 1780 1958 2186 2420 3916 4372 4895 5465 9790 10769 10930 12023 19580 21538 21860 24046 43076 48092 53845 60115 97277 107690 120230 132253 194554 215380 240460 264506 389108 486385 529012 661265 972770 1070047 1322530 1945540 2140094 2645060 4280188 5350235 10700470 11770517 21400940 23541034 47082068 58852585 117705170 235410340