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243040224 = 2537397911
BaseRepresentation
bin11100111110001…
…11111111100000
3121221022201111210
432133013333200
5444204241344
640041110120
76010544040
oct1637077740
9557281453
10243040224
1111520a799
1269488340
133b4768ab
14243c7720
151650bdb9
hexe7c7fe0

243040224 has 96 divisors (see below), whose sum is σ = 731759616. Its totient is φ = 69189120.

The previous prime is 243040201. The next prime is 243040247. The reversal of 243040224 is 422040342.

It is an interprime number because it is at equal distance from previous prime (243040201) and next prime (243040247).

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 243040224.

It is a congruent number.

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, 266329 + ... + 267239.

It is an arithmetic number, because the mean of its divisors is an integer number (7622496).

Almost surely, 2243040224 is an apocalyptic number.

243040224 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 243040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365879808).

243040224 is an abundant number, since it is smaller than the sum of its proper divisors (488719392).

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

243040224 is a wasteful number, since it uses less digits than its factorization.

243040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 243040224 is about 15589.7474001345. The cubic root of 243040224 is about 624.0595768232.

Adding to 243040224 its reverse (422040342), we get a palindrome (665080566).

The spelling of 243040224 in words is "two hundred forty-three million, forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 911 1191 1588 1822 2382 2733 2779 3176 3644 4764 5466 5558 6352 6377 7288 8337 9528 10932 11116 12704 12754 14576 16674 19056 19131 21864 22232 25508 29152 33348 38112 38262 43728 44464 51016 66696 76524 87456 88928 102032 133392 153048 204064 266784 306096 361667 612192 723334 1085001 1446668 2170002 2531669 2893336 4340004 5063338 5786672 7595007 8680008 10126676 11573344 15190014 17360016 20253352 30380028 34720032 40506704 60760056 81013408 121520112 243040224