Search a number
-
+
330412240 = 2454130153
BaseRepresentation
bin10011101100011…
…011000011010000
3212000201200101101
4103230123003100
51134041142430
652441514144
711121312664
oct2354330320
9760650341
10330412240
1115a566674
12927a2954
13535b8602
1431c4c8a4
151e019dca
hex13b1b0d0

330412240 has 20 divisors (see below), whose sum is σ = 768208644. Its totient is φ = 132164864.

The previous prime is 330412193. The next prime is 330412241. The reversal of 330412240 is 42214033.

It can be written as a sum of positive squares in 2 ways, for example, as 181279296 + 149132944 = 13464^2 + 12212^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2064997 + ... + 2065156.

Almost surely, 2330412240 is an apocalyptic number.

It is an amenable number.

330412240 is an abundant number, since it is smaller than the sum of its proper divisors (437796404).

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

330412240 is a wasteful number, since it uses less digits than its factorization.

330412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130166 (or 4130160 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 330412240 is about 18177.2451158034. The cubic root of 330412240 is about 691.3299560782.

Adding to 330412240 its reverse (42214033), we get a palindrome (372626273).

The spelling of 330412240 in words is "three hundred thirty million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4130153 8260306 16520612 20650765 33041224 41301530 66082448 82603060 165206120 330412240