Search a number
-
+
340013324 = 22723975443
BaseRepresentation
bin10100010001000…
…011000100001100
3212200210110121002
4110101003010030
51144020411244
653423355432
711266031330
oct2421030414
9780713532
10340013324
11164a24052
1295a52b78
135559a721
143322b7c0
151ecb4a4e
hex1444310c

340013324 has 48 divisors (see below), whose sum is σ = 717040128. Its totient is φ = 137922048.

The previous prime is 340013309. The next prime is 340013327. The reversal of 340013324 is 423310043.

340013324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 340013296 and 340013305.

It is not an unprimeable number, because it can be changed into a prime (340013327) 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, 59747 + ... + 65189.

It is an arithmetic number, because the mean of its divisors is an integer number (14938336).

Almost surely, 2340013324 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 340013324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358520064).

340013324 is an abundant number, since it is smaller than the sum of its proper divisors (377026804).

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

340013324 is a wasteful number, since it uses less digits than its factorization.

340013324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 340013324 is about 18439.4502087237. The cubic root of 340013324 is about 697.9623217566.

Adding to 340013324 its reverse (423310043), we get a palindrome (763323367).

The spelling of 340013324 in words is "three hundred forty million, thirteen thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 97 161 194 322 388 644 679 1358 2231 2716 4462 5443 8924 10886 15617 21772 31234 38101 62468 76202 125189 152404 250378 500756 527971 876323 1055942 1752646 2111884 3505292 3695797 7391594 12143333 14783188 24286666 48573332 85003331 170006662 340013324