Search a number
-
+
3104254332 = 22321771199359
BaseRepresentation
bin1011100100000111…
…0010100101111100
322000100012110101200
42321001302211330
522324142114312
61232010535500
7136632504114
oct27101624574
98010173350
103104254332
1113532a8253
12727737590
133a61875aa
142163c4044
151327d90dc
hexb907297c

3104254332 has 144 divisors (see below), whose sum is σ = 8491392000. Its totient is φ = 952680960.

The previous prime is 3104254327. The next prime is 3104254343. The reversal of 3104254332 is 2334524013.

3104254332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3104254296 and 3104254305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8646769 + ... + 8647127.

It is an arithmetic number, because the mean of its divisors is an integer number (58968000).

Almost surely, 23104254332 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 3104254332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696000).

3104254332 is an abundant number, since it is smaller than the sum of its proper divisors (5387137668).

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

3104254332 is a wasteful number, since it uses less digits than its factorization.

3104254332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3104254332 is about 55715.8355586632. The cubic root of 3104254332 is about 1458.7664460228.

Adding to 3104254332 its reverse (2334524013), we get a palindrome (5438778345).

The spelling of 3104254332 in words is "three billion, one hundred four million, two hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 199 204 213 284 306 359 398 426 597 612 639 718 796 852 1077 1194 1207 1278 1436 1791 2154 2388 2414 2556 3231 3383 3582 3621 4308 4828 6103 6462 6766 7164 7242 10149 10863 12206 12924 13532 14129 14484 18309 20298 21726 24412 25489 28258 30447 36618 40596 42387 43452 50978 54927 56516 60894 71441 73236 76467 84774 101956 109854 121788 127161 142882 152934 169548 214323 219708 229401 240193 254322 285764 305868 428646 433313 458802 480386 508644 642969 720579 857292 866626 917604 960772 1214497 1285938 1299939 1441158 1733252 2161737 2428994 2571876 2599878 2882316 3643491 3899817 4323474 4857988 5072311 5199756 7286982 7799634 8646948 10144622 10930473 14573964 15216933 15599268 20289244 21860946 30433866 43721892 45650799 60867732 86229287 91301598 172458574 182603196 258687861 344917148 517375722 776063583 1034751444 1552127166 3104254332