Search a number
-
+
234235540 = 225711891709
BaseRepresentation
bin11011111011000…
…10011010010100
3121022202101202101
431331202122110
5434431014130
635124251444
75542653310
oct1575423224
9538671671
10234235540
111102466a0
1266540b84
13396b3116
1423174b40
151586d1ca
hexdf62694

234235540 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 72145920.

The previous prime is 234235511. The next prime is 234235541. The reversal of 234235540 is 45532432.

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 = 234235499 and 234235508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234235541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136206 + ... + 137914.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2234235540 is an apocalyptic number.

234235540 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 234235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

234235540 is an abundant number, since it is smaller than the sum of its proper divisors (386289260).

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

234235540 is a wasteful number, since it uses less digits than its factorization.

234235540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 234235540 is about 15304.7554701145. The cubic root of 234235540 is about 616.4307052755.

Adding to 234235540 its reverse (45532432), we get a palindrome (279767972).

The spelling of 234235540 in words is "two hundred thirty-four million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1709 1780 1958 2492 3115 3418 3916 4895 6230 6836 6853 8545 9790 11963 12460 13706 17090 18799 19580 23926 27412 34180 34265 37598 47852 59815 68530 75196 93995 119630 131593 137060 152101 187990 239260 263186 304202 375980 526372 608404 657965 760505 1064707 1315930 1521010 1673111 2129414 2631860 3042020 3346222 4258828 5323535 6692444 8365555 10647070 11711777 16731110 21294140 23423554 33462220 46847108 58558885 117117770 234235540