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243972630 = 232511281877
BaseRepresentation
bin11101000101010…
…11101000010110
3122000002002112100
432202223220112
5444424111010
640113102530
76021506316
oct1642535026
9560062470
10243972630
11115797280
1269857a46
133b712105
142458b446
15166432c0
hexe8aba16

243972630 has 96 divisors (see below), whose sum is σ = 695249568. Its totient is φ = 58867200.

The previous prime is 243972613. The next prime is 243972637. The reversal of 243972630 is 36279342.

It is a happy number.

243972630 is a `hidden beast` number, since 2 + 4 + 397 + 263 + 0 = 666.

243972630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243972637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277752 + ... + 278628.

It is an arithmetic number, because the mean of its divisors is an integer number (7242183).

Almost surely, 2243972630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243972630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347624784).

243972630 is an abundant number, since it is smaller than the sum of its proper divisors (451276938).

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

243972630 is a wasteful number, since it uses less digits than its factorization.

243972630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 243972630 is about 15619.6232348927. The cubic root of 243972630 is about 624.8566113727.

The spelling of 243972630 in words is "two hundred forty-three million, nine hundred seventy-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 281 330 495 562 843 877 990 1405 1686 1754 2529 2631 2810 3091 4215 4385 5058 5262 6182 7893 8430 8770 9273 9647 12645 13155 15455 15786 18546 19294 25290 26310 27819 28941 30910 39465 46365 48235 55638 57882 78930 86823 92730 96470 139095 144705 173646 246437 278190 289410 434115 492874 739311 868230 1232185 1478622 2217933 2464370 2710807 3696555 4435866 5421614 7393110 8132421 11089665 13554035 16264842 22179330 24397263 27108070 40662105 48794526 81324210 121986315 243972630