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234241344 = 2632537673
BaseRepresentation
bin11011111011000…
…11110101000000
3121022202200201100
431331203311000
5434431210334
635124334400
75543006241
oct1575436500
9538680640
10234241344
1111024aa97
1266544400
13396b595c
1423176cc8
151586ec99
hexdf63d40

234241344 has 84 divisors (see below), whose sum is σ = 684167796. Its totient is φ = 76597248.

The previous prime is 234241303. The next prime is 234241349. The reversal of 234241344 is 443142432.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 75481344 = 12600^2 + 8688^2 .

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234241349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26692 + ... + 34364.

Almost surely, 2234241344 is an apocalyptic number.

234241344 is a gapful number since it is divisible by the number (24) 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 234241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342083898).

234241344 is an abundant number, since it is smaller than the sum of its proper divisors (449926452).

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

234241344 is a wasteful number, since it uses less digits than its factorization.

234241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7731 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 234241344 is about 15304.9450832076. The cubic root of 234241344 is about 616.4357966382.

Adding to 234241344 its reverse (443142432), we get a palindrome (677383776).

The spelling of 234241344 in words is "two hundred thirty-four million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3392 3816 5088 7632 7673 10176 15264 15346 23019 30528 30692 46038 61384 69057 92076 122768 138114 184152 245536 276228 368304 406669 491072 552456 736608 813338 1104912 1220007 1473216 1626676 2209824 2440014 3253352 3660021 4419648 4880028 6506704 7320042 9760056 13013408 14640084 19520112 26026816 29280168 39040224 58560336 78080448 117120672 234241344