Search a number
-
+
2103431344 = 247314373193
BaseRepresentation
bin111110101011111…
…1101000010110000
312102120222101100121
41331113331002300
513301434300334
6544415500024
7103060604620
oct17527750260
95376871317
102103431344
1198a372113
124a8527614
13276a1c941
1415d500880
15c49e3db4
hex7d5fd0b0

2103431344 has 160 divisors (see below), whose sum is σ = 5012885504. Its totient is φ = 836075520.

The previous prime is 2103431329. The next prime is 2103431377. The reversal of 2103431344 is 4431343012.

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, 10898512 + ... + 10898704.

Almost surely, 22103431344 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 2103431344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506442752).

2103431344 is an abundant number, since it is smaller than the sum of its proper divisors (2909454160).

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

2103431344 is a wasteful number, since it uses less digits than its factorization.

2103431344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2103431344 is about 45863.1807008629. The cubic root of 2103431344 is about 1281.2762628477.

Adding to 2103431344 its reverse (4431343012), we get a palindrome (6534774356).

The spelling of 2103431344 in words is "two billion, one hundred three million, four hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 73 86 112 124 146 172 193 217 248 292 301 344 386 434 496 511 584 602 688 772 868 1022 1168 1204 1333 1351 1544 1736 2044 2263 2408 2666 2702 3088 3139 3472 4088 4526 4816 5332 5404 5983 6278 8176 8299 9052 9331 10664 10808 11966 12556 14089 15841 16598 18104 18662 21328 21616 21973 23932 25112 28178 31682 33196 36208 37324 41881 43946 47864 50224 56356 58093 63364 66392 74648 83762 87892 95728 97309 98623 112712 116186 126728 132784 149296 167524 175784 194618 197246 225424 232372 253456 257269 335048 351568 389236 394492 436759 464744 514538 605827 670096 681163 778472 788984 873518 929488 1029076 1211654 1362326 1556944 1577968 1747036 1800883 2058152 2423308 2724652 3057313 3494072 3601766 4116304 4240789 4846616 5449304 6114626 6988144 7203532 8481578 9693232 10898608 12229252 14407064 16963156 18780637 24458504 28814128 33926312 37561274 48917008 67852624 75122548 131464459 150245096 262928918 300490192 525857836 1051715672 2103431344