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243860064 = 25372471103
BaseRepresentation
bin11101000100100…
…00001001100000
3121222212101010020
432202100021200
5444412010224
640110433440
76020530200
oct1642201140
9558771106
10243860064
1111571a748
1269802880
133b6a2ac6
142455c400
151661ec79
hexe890260

243860064 has 144 divisors (see below), whose sum is σ = 761177088. Its totient is φ = 68130048.

The previous prime is 243860051. The next prime is 243860069. The reversal of 243860064 is 460068342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243860069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220537 + ... + 221639.

It is an arithmetic number, because the mean of its divisors is an integer number (5285952).

Almost surely, 2243860064 is an apocalyptic number.

243860064 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 243860064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380588544).

243860064 is an abundant number, since it is smaller than the sum of its proper divisors (517317024).

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

243860064 is a wasteful number, since it uses less digits than its factorization.

243860064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 243860064 is about 15616.0194672010. The cubic root of 243860064 is about 624.7604961791.

The spelling of 243860064 in words is "two hundred forty-three million, eight hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 84 94 96 98 112 141 147 168 188 196 224 282 294 329 336 376 392 564 588 658 672 752 784 987 1103 1128 1176 1316 1504 1568 1974 2206 2256 2303 2352 2632 3309 3948 4412 4512 4606 4704 5264 6618 6909 7721 7896 8824 9212 10528 13236 13818 15442 15792 17648 18424 23163 26472 27636 30884 31584 35296 36848 46326 51841 52944 54047 55272 61768 73696 92652 103682 105888 108094 110544 123536 155523 162141 185304 207364 216188 221088 247072 311046 324282 362887 370608 414728 432376 622092 648564 725774 741216 829456 864752 1088661 1244184 1297128 1451548 1658912 1729504 2177322 2488368 2540209 2594256 2903096 4354644 4976736 5080418 5188512 5806192 7620627 8709288 10160836 11612384 15241254 17418576 20321672 30482508 34837152 40643344 60965016 81286688 121930032 243860064