Search a number
-
+
3304242322444 = 2274310377334469
BaseRepresentation
bin110000000101010100001…
…100001001110000001100
3102200212211022212121112201
4300011110030021300030
5413114042013304234
611005540432211244
7460503130220440
oct60052414116014
912625738777481
103304242322444
111064359716688
12454474099b24
131ac78653517b
14b5cd762a820
155ae3e592314
hex30154309c0c

3304242322444 has 96 divisors (see below), whose sum is σ = 6836853703680. Its totient is φ = 1367930688768.

The previous prime is 3304242322421. The next prime is 3304242322477. The reversal of 3304242322444 is 4442232424033.

It is a super-2 number, since 2×33042423224442 (a number of 26 digits) contains 22 as substring.

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, 95844042 + ... + 95878510.

It is an arithmetic number, because the mean of its divisors is an integer number (71217226080).

Almost surely, 23304242322444 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 3304242322444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418426851840).

3304242322444 is an abundant number, since it is smaller than the sum of its proper divisors (3532611381236).

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

3304242322444 is a wasteful number, since it uses less digits than its factorization.

3304242322444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35399 (or 35397 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 3304242322444 its reverse (4442232424033), we get a palindrome (7746474746477).

The spelling of 3304242322444 in words is "three trillion, three hundred four billion, two hundred forty-two million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 43 86 103 172 206 301 412 602 721 773 1204 1442 1546 2884 3092 4429 5411 8858 10822 17716 21644 31003 33239 34469 62006 66478 68938 79619 124012 132956 137876 159238 232673 241283 318476 465346 482566 557333 930692 965132 1114666 1482167 2229332 2964334 3423617 3550307 5928668 6847234 7100614 10375169 13694468 14201228 20750338 23965319 24852149 26644537 41500676 47930638 49704298 53289074 95861276 99408596 106578148 152663201 186511759 305326402 373023518 610652804 746047036 1068642407 1145715091 2137284814 2291430182 2744387311 4274569628 4582860364 5488774622 8020005637 10977549244 16040011274 19210711177 32080022548 38421422354 76842844708 118008654373 236017308746 472034617492 826060580611 1652121161222 3304242322444