Search a number
-
+
3399247104 = 283111723669
BaseRepresentation
bin1100101010011100…
…0110010100000000
322202220021122101220
43022213012110000
523430201401404
61321145355040
7150144060261
oct31247062400
98686248356
103399247104
111494871730
127aa498a80
13422321226
14243652968
1514d6594d9
hexca9c6500

3399247104 has 144 divisors (see below), whose sum is σ = 10450399680. Its totient is φ = 969441280.

The previous prime is 3399247069. The next prime is 3399247133. The reversal of 3399247104 is 4017429933.

It is a congruent number.

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, 131782 + ... + 155450.

It is an arithmetic number, because the mean of its divisors is an integer number (72572220).

Almost surely, 23399247104 is an apocalyptic number.

3399247104 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225199840).

3399247104 is an abundant number, since it is smaller than the sum of its proper divisors (7051152576).

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

3399247104 is a wasteful number, since it uses less digits than its factorization.

3399247104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23716 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3399247104 is about 58303.0625610696. The cubic root of 3399247104 is about 1503.5835953008.

The spelling of 3399247104 in words is "three billion, three hundred ninety-nine million, two hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 5984 6528 8448 8976 11968 13056 17952 23669 23936 35904 47338 47872 71007 71808 94676 142014 143616 189352 260359 284028 378704 402373 520718 568056 757408 781077 804746 1041436 1136112 1207119 1514816 1562154 1609492 2082872 2272224 2414238 3029632 3124308 3218984 4165744 4426103 4544448 4828476 6059264 6248616 6437968 8331488 8852206 9088896 9656952 12497232 12875936 13278309 16662976 17704412 18177792 19313904 24994464 25751872 26556618 33325952 35408824 38627808 49988928 51503744 53113236 66651904 70817648 77255616 99977856 103007488 106226472 141635296 154511232 199955712 212452944 283270592 309022464 424905888 566541184 849811776 1133082368 1699623552 3399247104