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234203330440 = 23543255153377
BaseRepresentation
bin1101101000011110011…
…0110011011110001000
3211101112000212220020201
43122013212303132020
512314122023033230
6255331434101544
722630530314362
oct3320746633610
9741460786221
10234203330440
1190363746642
123948227a8b4
1319115487b41
14b49a88bd32
15615b0d95ca
hex36879b3788

234203330440 has 64 divisors (see below), whose sum is σ = 539433797760. Its totient is φ = 91465113600.

The previous prime is 234203330429. The next prime is 234203330461. The reversal of 234203330440 is 44033302432.

234203330440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234203330399 and 234203330408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4361032 + ... + 4414408.

It is an arithmetic number, because the mean of its divisors is an integer number (8428653090).

Almost surely, 2234203330440 is an apocalyptic number.

234203330440 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 234203330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269716898880).

234203330440 is an abundant number, since it is smaller than the sum of its proper divisors (305230467320).

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

234203330440 is a wasteful number, since it uses less digits than its factorization.

234203330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55982 (or 55978 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 234203330440 its reverse (44033302432), we get a palindrome (278236632872).

The spelling of 234203330440 in words is "two hundred thirty-four billion, two hundred three million, three hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 2551 5102 10204 12755 20408 25510 51020 53377 102040 106754 109693 213508 219386 266885 427016 438772 533770 548465 877544 1067540 1096930 2135080 2193860 2295211 4387720 4590422 9180844 11476055 18361688 22952110 45904220 91808440 136164727 272329454 544658908 680823635 1089317816 1361647270 2723294540 5446589080 5855083261 11710166522 23420333044 29275416305 46840666088 58550832610 117101665220 234203330440