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234543023040 = 2635244315649
BaseRepresentation
bin1101101001101111011…
…0101000001111000000
3211102101201002001220010
43122123312220033000
512320321003214130
6255425250544520
722642123541664
oct3323366501700
9742351061803
10234543023040
1190518470727
1239557b98140
131916a972591
14b4cda348a4
15617ad390b0
hex369bda83c0

234543023040 has 56 divisors (see below), whose sum is σ = 744674101200. Its totient is φ = 62544805888.

The previous prime is 234543023023. The next prime is 234543023047. The reversal of 234543023040 is 40320345432.

234543023040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234543022989 and 234543023007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234543023047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 122156865 + ... + 122158784.

Almost surely, 2234543023040 is an apocalyptic number.

234543023040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234543023040 is an abundant number, since it is smaller than the sum of its proper divisors (510131078160).

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

234543023040 is a wasteful number, since it uses less digits than its factorization.

234543023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244315669 (or 244315659 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 234543023040 its reverse (40320345432), we get a palindrome (274863368472).

The spelling of 234543023040 in words is "two hundred thirty-four billion, five hundred forty-three million, twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 244315649 488631298 732946947 977262596 1221578245 1465893894 1954525192 2443156490 2931787788 3664734735 3909050384 4886312980 5863575576 7329469470 7818100768 9772625960 11727151152 14658938940 15636201536 19545251920 23454302304 29317877880 39090503840 46908604608 58635755760 78181007680 117271511520 234543023040