Search a number
-
+
234048540 = 223511354619
BaseRepresentation
bin11011111001101…
…00110000011100
3121022101220020110
431330310300130
5434404023130
635120250020
75541244155
oct1574646034
9538356213
10234048540
11110129150
1266470910
1339648c7b
142312692c
1515832ab0
hexdf34c1c

234048540 has 48 divisors (see below), whose sum is σ = 714913920. Its totient is φ = 56738880.

The previous prime is 234048539. The next prime is 234048559. The reversal of 234048540 is 45840432.

234048540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2340485402 = 109557438152263200, which contains 22 as substring.

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 = 234048498 and 234048507.

It is a congruent number.

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, 176650 + ... + 177969.

It is an arithmetic number, because the mean of its divisors is an integer number (14894040).

Almost surely, 2234048540 is an apocalyptic number.

234048540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234048540 is an abundant number, since it is smaller than the sum of its proper divisors (480865380).

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

234048540 is a wasteful number, since it uses less digits than its factorization.

234048540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354642 (or 354640 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 234048540 is about 15298.6450380418. The cubic root of 234048540 is about 616.2666208229.

Adding to 234048540 its reverse (45840432), we get a palindrome (279888972).

The spelling of 234048540 in words is "two hundred thirty-four million, forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 354619 709238 1063857 1418476 1773095 2127714 3546190 3900809 4255428 5319285 7092380 7801618 10638570 11702427 15603236 19504045 21277140 23404854 39008090 46809708 58512135 78016180 117024270 234048540