Search a number
-
+
3299804144 = 2471322310163
BaseRepresentation
bin1100010010101111…
…0000001111110000
322111222011102022022
43010223300033300
523224222213034
61303234131012
7144525605150
oct30453601760
98458142268
103299804144
11144372076a
12781120a68
13407844140
14234368760
15144a64b2e
hexc4af03f0

3299804144 has 80 divisors (see below), whose sum is σ = 7904827392. Its totient is φ = 1299435264.

The previous prime is 3299804141. The next prime is 3299804147. The reversal of 3299804144 is 4414089923.

It is an interprime number because it is at equal distance from previous prime (3299804141) and next prime (3299804147).

It is a junction number, because it is equal to n+sod(n) for n = 3299804095 and 3299804104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299804141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319607 + ... + 329769.

Almost surely, 23299804144 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 3299804144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952413696).

3299804144 is an abundant number, since it is smaller than the sum of its proper divisors (4605023248).

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

3299804144 is a wasteful number, since it uses less digits than its factorization.

3299804144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10414 (or 10408 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 3299804144 is about 57443.9217324166. The cubic root of 3299804144 is about 1488.7760986842.

The spelling of 3299804144 in words is "three billion, two hundred ninety-nine million, eight hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 223 364 446 728 892 1456 1561 1784 2899 3122 3568 5798 6244 10163 11596 12488 20293 20326 23192 24976 40586 40652 46384 71141 81172 81304 132119 142282 162344 162608 264238 284564 324688 528476 569128 924833 1056952 1138256 1849666 2113904 2266349 3699332 4532698 7398664 9065396 14797328 15864443 18130792 29462537 31728886 36261584 58925074 63457772 117850148 126915544 206237759 235700296 253831088 412475518 471400592 824951036 1649902072 3299804144