Search a number
-
+
330411144 = 23373163443
BaseRepresentation
bin10011101100011…
…010110010001000
3212000201121212210
4103230122302020
51134041124034
652441505120
711121306540
oct2354326210
9760647783
10330411144
1115a565868
12927a21a0
13535b7c6b
1431c4c320
151e0198e9
hex13b1ac88

330411144 has 64 divisors (see below), whose sum is σ = 974499840. Its totient is φ = 91356480.

The previous prime is 330411139. The next prime is 330411157. The reversal of 330411144 is 441114033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 330411144.

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 15 ways as a sum of consecutive naturals, for example, 26514 + ... + 36929.

It is an arithmetic number, because the mean of its divisors is an integer number (15226560).

Almost surely, 2330411144 is an apocalyptic number.

It is an amenable number.

330411144 is an abundant number, since it is smaller than the sum of its proper divisors (644088696).

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

330411144 is a wasteful number, since it uses less digits than its factorization.

330411144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63490 (or 63486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 330411144 is about 18177.2149681958. The cubic root of 330411144 is about 691.3291916811.

Adding to 330411144 its reverse (441114033), we get a palindrome (771525177).

The spelling of 330411144 in words is "three hundred thirty million, four hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 63443 126886 190329 253772 380658 444101 507544 761316 888202 1332303 1522632 1776404 1966733 2664606 3552808 3933466 5329212 5900199 7866932 10658424 11800398 13767131 15733864 23600796 27534262 41301393 47201592 55068524 82602786 110137048 165205572 330411144