Search a number
-
+
322323140 = 22541393077
BaseRepresentation
bin10011001101100…
…100001011000100
3211110111201020002
4103031210023010
51130003320030
651552300432
710662462416
oct2315441304
9743451202
10322323140
11155a41167
128bb41718
1351a15769
1430b449b6
151d46d245
hex133642c4

322323140 has 24 divisors (see below), whose sum is σ = 693389592. Its totient is φ = 125784320.

The previous prime is 322323119. The next prime is 322323149. The reversal of 322323140 is 41323223.

It can be written as a sum of positive squares in 4 ways, for example, as 10023556 + 312299584 = 3166^2 + 17672^2 .

It is a super-3 number, since 3×3223231403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (322323149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195719 + ... + 197358.

It is an arithmetic number, because the mean of its divisors is an integer number (28891233).

Almost surely, 2322323140 is an apocalyptic number.

It is an amenable number.

322323140 is an abundant number, since it is smaller than the sum of its proper divisors (371066452).

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

322323140 is a wasteful number, since it uses less digits than its factorization.

322323140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393127 (or 393125 counting only the distinct ones).

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

The square root of 322323140 is about 17953.3601311844. The cubic root of 322323140 is about 685.6416032007.

Adding to 322323140 its reverse (41323223), we get a palindrome (363646363).

The spelling of 322323140 in words is "three hundred twenty-two million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 393077 786154 1572308 1965385 3930770 7861540 16116157 32232314 64464628 80580785 161161570 322323140