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234332343440 = 24513467482483
BaseRepresentation
bin1101101000111101001…
…0111100110010010000
3211101212000122102210222
43122033102330302100
512314403034442230
6255352323212212
722633655024516
oct3321722746220
9741760572728
10234332343440
119041a553a58
12394b9517068
13191361192b0
14b4ada724b6
1561675c06e5
hex368f4bcc90

234332343440 has 80 divisors (see below), whose sum is σ = 587989741248. Its totient is φ = 86337259008.

The previous prime is 234332343439. The next prime is 234332343461. The reversal of 234332343440 is 44343233432.

234332343440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2343323434402 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234332343440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244439 + ... + 726921.

Almost surely, 2234332343440 is an apocalyptic number.

234332343440 is a gapful number since it is divisible by the number (20) 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 234332343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293994870624).

234332343440 is an abundant number, since it is smaller than the sum of its proper divisors (353657397808).

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

234332343440 is a wasteful number, since it uses less digits than its factorization.

234332343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482976 (or 482970 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 35.

Adding to 234332343440 its reverse (44343233432), we get a palindrome (278675576872).

The spelling of 234332343440 in words is "two hundred thirty-four billion, three hundred thirty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 467 520 934 1040 1868 2335 3736 4670 6071 7472 9340 12142 18680 24284 30355 37360 48568 60710 97136 121420 242840 482483 485680 964966 1929932 2412415 3859864 4824830 6272279 7719728 9649660 12544558 19299320 25089116 31361395 38598640 50178232 62722790 100356464 125445580 225319561 250891160 450639122 501782320 901278244 1126597805 1802556488 2253195610 2929154293 3605112976 4506391220 5858308586 9012782440 11716617172 14645771465 18025564880 23433234344 29291542930 46866468688 58583085860 117166171720 234332343440