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234613344 = 25371093203
BaseRepresentation
bin11011111101111…
…10101001100000
3121100110121000010
431332332221200
5440030111334
635140324520
75546115630
oct1576765140
9540417003
10234613344
11110484529
12666a3740
13397b6084
14232326c0
15158e50e9
hexdfbea60

234613344 has 96 divisors (see below), whose sum is σ = 710519040. Its totient is φ = 66396672.

The previous prime is 234613319. The next prime is 234613367. The reversal of 234613344 is 443316432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 71647 + ... + 74849.

It is an arithmetic number, because the mean of its divisors is an integer number (7401240).

Almost surely, 2234613344 is an apocalyptic number.

234613344 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 234613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355259520).

234613344 is an abundant number, since it is smaller than the sum of its proper divisors (475905696).

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

234613344 is a wasteful number, since it uses less digits than its factorization.

234613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3332 (or 3324 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 234613344 is about 15317.0931968177. The cubic root of 234613344 is about 616.7619457682.

Adding to 234613344 its reverse (443316432), we get a palindrome (677929776).

The spelling of 234613344 in words is "two hundred thirty-four million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3203 3488 4578 5232 6104 6406 9156 9609 10464 12208 12812 18312 19218 22421 24416 25624 36624 38436 44842 51248 67263 73248 76872 89684 102496 134526 153744 179368 269052 307488 349127 358736 538104 698254 717472 1047381 1076208 1396508 2094762 2152416 2443889 2793016 4189524 4887778 5586032 7331667 8379048 9775556 11172064 14663334 16758096 19551112 29326668 33516192 39102224 58653336 78204448 117306672 234613344