Search a number
-
+
3369413350644 = 22311172621572881
BaseRepresentation
bin110001000010000000101…
…011111001010011110100
3102221010001012122212102220
4301002000223321103310
5420201024304210034
611055515341402340
7465301126633215
oct61020053712364
912833035585386
103369413350644
111089a61aa5770
124650218693b0
131b59713a3253
14b911ab8140c
155c9a5c81749
hex31080af94f4

3369413350644 has 96 divisors (see below), whose sum is σ = 9084680260992. Its totient is φ = 960605184000.

The previous prime is 3369413350619. The next prime is 3369413350663. The reversal of 3369413350644 is 4460533149633.

It is a happy number.

It is a super-2 number, since 2×33694133506442 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 5595084 + ... + 6167964.

It is an arithmetic number, because the mean of its divisors is an integer number (94632086052).

Almost surely, 23369413350644 is an apocalyptic number.

3369413350644 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 3369413350644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542340130496).

3369413350644 is an abundant number, since it is smaller than the sum of its proper divisors (5715266910348).

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

3369413350644 is a wasteful number, since it uses less digits than its factorization.

3369413350644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575537 (or 575535 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 51.

The spelling of 3369413350644 in words is "three trillion, three hundred sixty-nine billion, four hundred thirteen million, three hundred fifty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 2621 5242 7863 10484 15726 28831 31452 44557 57662 86493 89114 115324 133671 172986 178228 267342 345972 490127 534684 572881 980254 1145762 1470381 1718643 1960508 2291524 2940762 3437286 5881524 6301691 6874572 9738977 12603382 18905073 19477954 25206764 29216931 37810146 38955908 58433862 75620292 107128747 116867724 214257494 321386241 428514988 642772482 1285544964 1501521101 3003042202 4504563303 6006084404 9009126606 16516732111 18018253212 25525858717 33033464222 49550196333 51051717434 66066928444 76577576151 99100392666 102103434868 153155152302 198200785332 280784445887 306310304604 561568891774 842353337661 1123137783548 1684706675322 3369413350644