Search a number
-
+
330445104 = 243111075849
BaseRepresentation
bin10011101100100…
…011000100110000
3212000210100110120
4103230203010300
51134043220404
652442330240
711121510543
oct2354430460
9760710416
10330445104
1115a589330
12927b9980
13535ca562
1431c5a85a
151e0249d9
hex13b23130

330445104 has 80 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 99182080.

The previous prime is 330445081. The next prime is 330445121. The reversal of 330445104 is 401544033.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53572 + ... + 59420.

It is an arithmetic number, because the mean of its divisors is an integer number (11751480).

Almost surely, 2330445104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

330445104 is an abundant number, since it is smaller than the sum of its proper divisors (609673296).

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

330445104 is a wasteful number, since it uses less digits than its factorization.

330445104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 330445104 is about 18178.1490806958. The cubic root of 330445104 is about 691.3528760467.

Adding to 330445104 its reverse (401544033), we get a palindrome (731989137).

The spelling of 330445104 in words is "three hundred thirty million, four hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 176 214 264 321 428 528 642 856 1177 1284 1712 2354 2568 3531 4708 5136 5849 7062 9416 11698 14124 17547 18832 23396 28248 35094 46792 56496 64339 70188 93584 128678 140376 193017 257356 280752 386034 514712 625843 772068 1029424 1251686 1544136 1877529 2503372 3088272 3755058 5006744 6884273 7510116 10013488 13768546 15020232 20652819 27537092 30040464 41305638 55074184 82611276 110148368 165222552 330445104