Search a number
-
+
330323424 = 25323149603
BaseRepresentation
bin10011101100000…
…101010111100000
3212000120011112220
4103230011113200
51134030322144
652435551040
711120463024
oct2354052740
9760504486
10330323424
1115a505972
129275b480
1353587062
1431c28384
151deed919
hex13b055e0

330323424 has 48 divisors (see below), whose sum is σ = 904804992. Its totient is φ = 105319808.

The previous prime is 330323407. The next prime is 330323437. The reversal of 330323424 is 424323033.

330323424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3303234242 = 218227128886167552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 330323394 and 330323403.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72594 + ... + 77009.

It is an arithmetic number, because the mean of its divisors is an integer number (18850104).

Almost surely, 2330323424 is an apocalyptic number.

It is an amenable number.

330323424 is an abundant number, since it is smaller than the sum of its proper divisors (574481568).

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

330323424 is a wasteful number, since it uses less digits than its factorization.

330323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149639 (or 149631 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 330323424 is about 18174.8018971322. The cubic root of 330323424 is about 691.2680065331.

Adding to 330323424 its reverse (424323033), we get a palindrome (754646457).

The spelling of 330323424 in words is "three hundred thirty million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 149603 299206 448809 598412 897618 1196824 1795236 2393648 3440869 3590472 4787296 6881738 7180944 10322607 13763476 14361888 20645214 27526952 41290428 55053904 82580856 110107808 165161712 330323424