Search a number
-
+
3027346644 = 2237536471051
BaseRepresentation
bin1011010001110001…
…1010010011010100
321210222111010212210
42310130122103110
522200000043034
61220222313420
7135010010340
oct26434322324
97728433783
103027346644
111313949383
12705a28870
1339326a89a
1420a0c4620
1512ab968e9
hexb471a4d4

3027346644 has 96 divisors (see below), whose sum is σ = 8245794816. Its totient is φ = 846518400.

The previous prime is 3027346579. The next prime is 3027346661. The reversal of 3027346644 is 4466437203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2879919 + ... + 2880969.

It is an arithmetic number, because the mean of its divisors is an integer number (85893696).

Almost surely, 23027346644 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 3027346644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122897408).

3027346644 is an abundant number, since it is smaller than the sum of its proper divisors (5218448172).

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

3027346644 is a wasteful number, since it uses less digits than its factorization.

3027346644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The square root of 3027346644 is about 55021.3289915829. The cubic root of 3027346644 is about 1446.6186200451.

The spelling of 3027346644 in words is "three billion, twenty-seven million, three hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 371 636 647 742 1051 1113 1294 1484 1941 2102 2226 2588 3153 3882 4204 4452 4529 6306 7357 7764 9058 12612 13587 14714 18116 22071 27174 29428 34291 44142 54348 55703 68582 88284 102873 111406 137164 167109 205746 222812 240037 334218 389921 411492 480074 668436 679997 720111 779842 960148 1169763 1359994 1440222 1559684 2039991 2339526 2719988 2880444 4079982 4679052 4759979 8159964 9519958 14279937 19039916 28559874 36039841 57119748 72079682 108119523 144159364 216239046 252278887 432478092 504557774 756836661 1009115548 1513673322 3027346644