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234323240 = 23517509677
BaseRepresentation
bin11011111011101…
…11110100101000
3121022220212001112
431331313310220
5434441320430
635130205452
75543500064
oct1575676450
9538825045
10234323240
111102a6578
1266583888
1339714008
1423198aa4
1515889195
hexdf77d28

234323240 has 64 divisors (see below), whose sum is σ = 560163600. Its totient is φ = 87912448.

The previous prime is 234323233. The next prime is 234323263. The reversal of 234323240 is 42323432.

It can be written as a sum of positive squares in 8 ways, for example, as 226382116 + 7941124 = 15046^2 + 2818^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345782 + ... + 346458.

Almost surely, 2234323240 is an apocalyptic number.

234323240 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 234323240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280081800).

234323240 is an abundant number, since it is smaller than the sum of its proper divisors (325840360).

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

234323240 is a wasteful number, since it uses less digits than its factorization.

234323240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 234323240 is about 15307.6203245312. The cubic root of 234323240 is about 616.5076281702.

Adding to 234323240 its reverse (42323432), we get a palindrome (276646672).

The spelling of 234323240 in words is "two hundred thirty-four million, three hundred twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 509 677 680 1018 1354 2036 2545 2708 3385 4072 5090 5416 6770 8653 10180 11509 13540 17306 20360 23018 27080 34612 43265 46036 57545 69224 86530 92072 115090 173060 230180 344593 346120 460360 689186 1378372 1722965 2756744 3445930 5858081 6891860 11716162 13783720 23432324 29290405 46864648 58580810 117161620 234323240