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243023232 = 2735311941
BaseRepresentation
bin11100111110000…
…11110110000000
3121221021212012110
432133003312000
5444203220412
640040455320
76010443354
oct1637036600
9557255173
10243023232
111151a8a51
126947a540
133b46bc3a
14243c1464
1516506d3c
hexe7c3d80

243023232 has 64 divisors (see below), whose sum is σ = 657765360. Its totient is φ = 79472640.

The previous prime is 243023213. The next prime is 243023251. The reversal of 243023232 is 232320342.

243023232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (243023213) and next prime (243023251).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 243023199 and 243023208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14382 + ... + 26322.

Almost surely, 2243023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328882680).

243023232 is an abundant number, since it is smaller than the sum of its proper divisors (414742128).

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

243023232 is a wasteful number, since it uses less digits than its factorization.

243023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12011 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 243023232 is about 15589.2024170578. The cubic root of 243023232 is about 624.0450329104.

Adding to 243023232 its reverse (232320342), we get a palindrome (475343574).

The spelling of 243023232 in words is "two hundred forty-three million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 11941 20352 23882 35823 47764 71646 95528 143292 191056 286584 382112 573168 632873 764224 1146336 1265746 1528448 1898619 2292672 2531492 3797238 4585344 5062984 7594476 10125968 15188952 20251936 30377904 40503872 60755808 81007744 121511616 243023232