Search a number
-
+
340333420 = 225722691291
BaseRepresentation
bin10100010010010…
…001001101101100
3212201101201200111
4110102101031230
51144111132140
653434305404
711301533500
oct2422211554
9781351614
10340333420
11165122599
1295b88264
135568032b
14332b2300
151ed297ea
hex1449136c

340333420 has 72 divisors (see below), whose sum is σ = 835122960. Its totient is φ = 116161920.

The previous prime is 340333403. The next prime is 340333429. The reversal of 340333420 is 24333043.

It is a junction number, because it is equal to n+sod(n) for n = 340333391 and 340333400.

It is not an unprimeable number, because it can be changed into a prime (340333429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262975 + ... + 264265.

It is an arithmetic number, because the mean of its divisors is an integer number (11598930).

Almost surely, 2340333420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340333420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417561480).

340333420 is an abundant number, since it is smaller than the sum of its proper divisors (494789540).

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

340333420 is a wasteful number, since it uses less digits than its factorization.

340333420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 340333420 is about 18448.1278182909. The cubic root of 340333420 is about 698.1812787395.

Adding to 340333420 its reverse (24333043), we get a palindrome (364666463).

The spelling of 340333420 in words is "three hundred forty million, three hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 269 490 538 980 1076 1291 1345 1883 2582 2690 3766 5164 5380 6455 7532 9037 9415 12910 13181 18074 18830 25820 26362 36148 37660 45185 52724 63259 65905 90370 126518 131810 180740 253036 263620 316295 347279 632590 694558 1265180 1389116 1736395 2430953 3472790 4861906 6945580 9723812 12154765 17016671 24309530 34033342 48619060 68066684 85083355 170166710 340333420