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3783346812 = 2233742111887
BaseRepresentation
bin1110000110000001…
…0100101001111100
3100202200000221011000
43201200110221330
530222014044222
61423230130300
7162516626430
oct34140245174
910680027130
103783346812
111671667503
12897050990
13483a8646b
1427c6789c0
1517222b9ac
hexe1814a7c

3783346812 has 96 divisors (see below), whose sum is σ = 11237488640. Its totient is φ = 1078297920.

The previous prime is 3783346811. The next prime is 3783346841. The reversal of 3783346812 is 2186433873.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3783346811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312333 + ... + 324219.

Almost surely, 23783346812 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 3783346812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5618744320).

3783346812 is an abundant number, since it is smaller than the sum of its proper divisors (7454141828).

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

3783346812 is a wasteful number, since it uses less digits than its factorization.

3783346812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328 (or 12320 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 3783346812 is about 61508.9165243544. The cubic root of 3783346812 is about 1558.2078383642.

The spelling of 3783346812 in words is "three billion, seven hundred eighty-three million, three hundred forty-six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 421 756 842 1263 1684 2526 2947 3789 5052 5894 7578 8841 11367 11788 11887 15156 17682 22734 23774 26523 35364 35661 45468 47548 53046 71322 79569 83209 106092 106983 142644 159138 166418 213966 249627 318276 320949 332836 427932 499254 641898 748881 998508 1283796 1497762 2246643 2995524 4493286 5004427 8986572 10008854 15013281 20017708 30026562 35030989 45039843 60053124 70061978 90079686 105092967 135119529 140123956 180159372 210185934 270239058 315278901 420371868 540478116 630557802 945836703 1261115604 1891673406 3783346812