Search a number
-
+
324311040 = 2113451723
BaseRepresentation
bin10011010101001…
…001100000000000
3211121020201010000
4103111021200000
51131010423130
652103040000
711015412144
oct2325114000
9747221100
10324311040
11157079759
1290740000
1352260531
1431101224
151d712260
hex13549800

324311040 has 480 divisors, whose sum is σ = 1284323040. Its totient is φ = 77856768.

The previous prime is 324311033. The next prime is 324311059. The reversal of 324311040 is 40113423.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100469 + ... + 14100491.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 2324311040 is an apocalyptic number.

324311040 is a gapful number since it is divisible by the number (30) 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 324311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642161520).

324311040 is an abundant number, since it is smaller than the sum of its proper divisors (960012000).

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

324311040 is a wasteful number, since it uses less digits than its factorization.

324311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 324311040 is about 18008.6379273947. The cubic root of 324311040 is about 687.0482603728.

Adding to 324311040 its reverse (40113423), we get a palindrome (364424463).

It can be divided in two parts, 324 and 311040, that added together give a square (311364 = 5582).

The spelling of 324311040 in words is "three hundred twenty-four million, three hundred eleven thousand, forty".