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234412344 = 233273103433
BaseRepresentation
bin11011111100011…
…01100100111000
3121100002101021200
431332031210320
5440002143334
635132134200
75544320625
oct1576154470
9540071250
10234412344
11110357511
1266607360
133974573a
14231bd34c
15158a5799
hexdf8d938

234412344 has 96 divisors (see below), whose sum is σ = 651312480. Its totient is φ = 76142592.

The previous prime is 234412331. The next prime is 234412357. The reversal of 234412344 is 443214432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234412331) and next prime (234412357).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541152 + ... + 541584.

It is an arithmetic number, because the mean of its divisors is an integer number (6784505).

Almost surely, 2234412344 is an apocalyptic number.

234412344 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 234412344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325656240).

234412344 is an abundant number, since it is smaller than the sum of its proper divisors (416900136).

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

234412344 is a wasteful number, since it uses less digits than its factorization.

234412344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

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

The square root of 234412344 is about 15310.5304937484. The cubic root of 234412344 is about 616.5857628787.

Adding to 234412344 its reverse (443214432), we get a palindrome (677626776).

The spelling of 234412344 in words is "two hundred thirty-four million, four hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 103 146 206 219 292 309 412 433 438 584 618 657 824 866 876 927 1236 1299 1314 1732 1752 1854 2472 2598 2628 3464 3708 3897 5196 5256 7416 7519 7794 10392 15038 15588 22557 30076 31176 31609 44599 45114 60152 63218 67671 89198 90228 94827 126436 133797 135342 178396 180456 189654 252872 267594 270684 284481 356792 379308 401391 535188 541368 568962 758616 802782 1070376 1137924 1605564 2275848 3211128 3255727 6511454 9767181 13022908 19534362 26045816 29301543 39068724 58603086 78137448 117206172 234412344