Search a number
-
+
3424720476352 = 26766733114553
BaseRepresentation
bin110001110101100001001…
…111110101100011000000
3110010101210122202221220011
4301311201033311203000
5422102311420220402
611141143405154304
7502266523511530
oct61654117654300
913111718687804
103424720476352
11110046347691a
12473897b5b994
131bac467c5b36
14bba8627d4c0
155e1414e7ed7
hex31d613f58c0

3424720476352 has 56 divisors (see below), whose sum is σ = 7766960982176. Its totient is φ = 1467702540288.

The previous prime is 3424720476347. The next prime is 3424720476361. The reversal of 3424720476352 is 2536740274243.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×34247204763523 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 3424720476296 and 3424720476305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29839108 + ... + 29953660.

Almost surely, 23424720476352 is an apocalyptic number.

3424720476352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3424720476352 is an abundant number, since it is smaller than the sum of its proper divisors (4342240505824).

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

3424720476352 is a wasteful number, since it uses less digits than its factorization.

3424720476352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181305 (or 181295 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 49.

The spelling of 3424720476352 in words is "three trillion, four hundred twenty-four billion, seven hundred twenty million, four hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 66733 114553 133466 229106 266932 458212 467131 533864 801871 916424 934262 1067728 1603742 1832848 1868524 2135456 3207484 3665696 3737048 4270912 6414968 7331392 7474096 12829936 14948192 25659872 29896384 51319744 7644465349 15288930698 30577861396 53511257443 61155722792 107022514886 122311445584 214045029772 244622891168 428090059544 489245782336 856180119088 1712360238176 3424720476352