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234024140 = 22571997907
BaseRepresentation
bin11011111001011…
…10110011001100
3121022100122202202
431330232303030
5434402233030
635115541032
75541113060
oct1574566314
9538318682
10234024140
11110111889
126645a778
133963ab2c
142311baa0
151582a745
hexdf2eccc

234024140 has 96 divisors (see below), whose sum is σ = 597972480. Its totient is φ = 75147264.

The previous prime is 234024101. The next prime is 234024143. The reversal of 234024140 is 41420432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234024143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257567 + ... + 258473.

It is an arithmetic number, because the mean of its divisors is an integer number (6228880).

Almost surely, 2234024140 is an apocalyptic number.

234024140 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 234024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298986240).

234024140 is an abundant number, since it is smaller than the sum of its proper divisors (363948340).

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

234024140 is a wasteful number, since it uses less digits than its factorization.

234024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234024140 is about 15297.8475610133. The cubic root of 234024140 is about 616.2452044276.

Adding to 234024140 its reverse (41420432), we get a palindrome (275444572).

The spelling of 234024140 in words is "two hundred thirty-four million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 97 133 140 190 194 266 380 388 485 532 665 679 907 970 1330 1358 1814 1843 1940 2660 2716 3395 3628 3686 4535 6349 6790 7372 9070 9215 12698 12901 13580 17233 18140 18430 25396 25802 31745 34466 36860 51604 63490 64505 68932 86165 87979 120631 126980 129010 172330 175958 241262 258020 344660 351916 439895 482524 603155 615853 879790 1206310 1231706 1671601 1759580 2412620 2463412 3079265 3343202 6158530 6686404 8358005 11701207 12317060 16716010 23402414 33432020 46804828 58506035 117012070 234024140