Search a number
-
+
234332140 = 225710715643
BaseRepresentation
bin11011111011110…
…01111111101100
3121022221022021011
431331321333230
5434442112030
635130315004
75543535040
oct1575717754
9538838234
10234332140
11110302229
1266588a64
1339718093
142319c020
151588bb2a
hexdf79fec

234332140 has 48 divisors (see below), whose sum is σ = 567689472. Its totient is φ = 79586496.

The previous prime is 234332101. The next prime is 234332141. The reversal of 234332140 is 41233432.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (234332141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7159 + ... + 22801.

It is an arithmetic number, because the mean of its divisors is an integer number (11826864).

Almost surely, 2234332140 is an apocalyptic number.

234332140 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 234332140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283844736).

234332140 is an abundant number, since it is smaller than the sum of its proper divisors (333357332).

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

234332140 is a wasteful number, since it uses less digits than its factorization.

234332140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766 (or 15764 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 234332140 is about 15307.9110266555. The cubic root of 234332140 is about 616.5154334116.

Adding to 234332140 its reverse (41233432), we get a palindrome (275565572).

The spelling of 234332140 in words is "two hundred thirty-four million, three hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 14980 15643 31286 62572 78215 109501 156430 219002 312860 438004 547505 1095010 1673801 2190020 3347602 6695204 8369005 11716607 16738010 23433214 33476020 46866428 58583035 117166070 234332140