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234434001340 = 2257113111343457
BaseRepresentation
bin1101101001010101011…
…0101111100110111100
3211102010002221012020101
43122111112233212330
512320110101020330
6255410354130444
722636331063320
oct3322526574674
9742102835211
10234434001340
1190471978050
1239527580a24
13191511c05b6
14b4bd375980
1561714a14ca
hex36955af9bc

234434001340 has 192 divisors, whose sum is σ = 639212249088. Its totient is φ = 70085836800.

The previous prime is 234434001313. The next prime is 234434001359. The reversal of 234434001340 is 43100434432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 234434001299 and 234434001308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5372892 + ... + 5416348.

It is an arithmetic number, because the mean of its divisors is an integer number (3329230464).

Almost surely, 2234434001340 is an apocalyptic number.

234434001340 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 234434001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319606124544).

234434001340 is an abundant number, since it is smaller than the sum of its proper divisors (404778247748).

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

234434001340 is a wasteful number, since it uses less digits than its factorization.

234434001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43628 (or 43626 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 234434001340 its reverse (43100434432), we get a palindrome (277534435772).

The spelling of 234434001340 in words is "two hundred thirty-four billion, four hundred thirty-four million, one thousand, three hundred forty".