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243201024 = 21032112399
BaseRepresentation
bin11100111111011…
…11010000000000
3121221121220002100
432133233100000
5444224413044
640044350400
76012113613
oct1637572000
9557556070
10243201024
1111530a590
1269545400
133b501b41
142442a17a
151653e869
hexe7ef400

243201024 has 132 divisors (see below), whose sum is σ = 766396800. Its totient is φ = 73666560.

The previous prime is 243200987. The next prime is 243201061. The reversal of 243201024 is 420102342.

243201024 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 (243200987) and next prime (243201061).

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 243200988 and 243201006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100177 + ... + 102575.

Almost surely, 2243201024 is an apocalyptic number.

243201024 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 243201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383198400).

243201024 is an abundant number, since it is smaller than the sum of its proper divisors (523195776).

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

243201024 is a wasteful number, since it uses less digits than its factorization.

243201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 243201024 is about 15594.9037829670. The cubic root of 243201024 is about 624.1971763469.

243201024 divided by its product of nonzero digits (384) gives a palindrome (633336).

Adding to 243201024 its reverse (420102342), we get a palindrome (663303366).

The spelling of 243201024 in words is "two hundred forty-three million, two hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2112 2304 2399 2816 3072 3168 4224 4608 4798 5632 6336 7197 8448 9216 9596 11264 12672 14394 16896 19192 21591 25344 26389 28788 33792 38384 43182 50688 52778 57576 76768 79167 86364 101376 105556 115152 153536 158334 172728 211112 230304 237501 307072 316668 345456 422224 460608 475002 614144 633336 690912 844448 921216 950004 1228288 1266672 1381824 1688896 1842432 1900008 2456576 2533344 2763648 3377792 3684864 3800016 5066688 5527296 6755584 7369728 7600032 10133376 11054592 13511168 15200064 20266752 22109184 27022336 30400128 40533504 60800256 81067008 121600512 243201024