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243013344 = 25372192719
BaseRepresentation
bin11100111110000…
…01011011100000
3121221021100122020
432133001123200
5444202411334
640040341440
76010402500
oct1637013340
9557240566
10243013344
111151a1582
1269474880
133b4675a2
14243bba00
1516503e49
hexe7c16e0

243013344 has 144 divisors (see below), whose sum is σ = 781401600. Its totient is φ = 65753856.

The previous prime is 243013307. The next prime is 243013361. The reversal of 243013344 is 443310342.

243013344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 88017 + ... + 90735.

It is an arithmetic number, because the mean of its divisors is an integer number (5426400).

Almost surely, 2243013344 is an apocalyptic number.

243013344 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 243013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390700800).

243013344 is an abundant number, since it is smaller than the sum of its proper divisors (538388256).

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

243013344 is a wasteful number, since it uses less digits than its factorization.

243013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 243013344 is about 15588.8852712437. The cubic root of 243013344 is about 624.0365691915.

Adding to 243013344 its reverse (443310342), we get a palindrome (686323686).

The spelling of 243013344 in words is "two hundred forty-three million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 76 84 96 98 112 114 133 147 152 168 196 224 228 266 294 304 336 392 399 456 532 588 608 672 784 798 912 931 1064 1176 1568 1596 1824 1862 2128 2352 2719 2793 3192 3724 4256 4704 5438 5586 6384 7448 8157 10876 11172 12768 14896 16314 19033 21752 22344 29792 32628 38066 43504 44688 51661 57099 65256 76132 87008 89376 103322 114198 130512 133231 152264 154983 206644 228396 261024 266462 304528 309966 361627 399693 413288 456792 532924 609056 619932 723254 799386 826576 913584 1065848 1084881 1239864 1446508 1598772 1653152 1827168 2131696 2169762 2479728 2531389 2893016 3197544 4263392 4339524 4959456 5062778 5786032 6395088 7594167 8679048 10125556 11572064 12790176 15188334 17358096 20251112 30376668 34716192 40502224 60753336 81004448 121506672 243013344