Search a number
-
+
323414140 = 22572818221
BaseRepresentation
bin10011010001101…
…110100001111100
3211112120010210111
4103101232201330
51130243223030
652031515404
711004655240
oct2321564174
9745503714
10323414140
11156616915
1290388b64
135200821a
1430d4a420
151d5d662a
hex1346e87c

323414140 has 48 divisors (see below), whose sum is σ = 779050944. Its totient is φ = 110476800.

The previous prime is 323414101. The next prime is 323414141. The reversal of 323414140 is 41414323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323414141) 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, 35230 + ... + 43450.

It is an arithmetic number, because the mean of its divisors is an integer number (16230228).

Almost surely, 2323414140 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 323414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389525472).

323414140 is an abundant number, since it is smaller than the sum of its proper divisors (455636804).

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

323414140 is a wasteful number, since it uses less digits than its factorization.

323414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 323414140 is about 17983.7187478007. The cubic root of 323414140 is about 686.4143190423.

Adding to 323414140 its reverse (41414323), we get a palindrome (364828463).

It can be divided in two parts, 32341 and 4140, that added together give a square (36481 = 1912).

The spelling of 323414140 in words is "three hundred twenty-three million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 3934 5620 7868 8221 9835 16442 19670 32884 39340 41105 57547 82210 115094 164420 230188 287735 575470 1150940 2310101 4620202 9240404 11550505 16170707 23101010 32341414 46202020 64682828 80853535 161707070 323414140