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3234041320400 = 2452111828740193
BaseRepresentation
bin101111000011111011111…
…000100101001111010000
3102110011121220022012200222
4233003323320211033100
5410441304034223100
610513410441132212
7452436362441132
oct57037370451720
912404556265628
103234041320400
111037605017820
12442941a8a068
131a5c795723c7
14b2758051052
15591d14ca485
hex2f0fbe253d0

3234041320400 has 120 divisors (see below), whose sum is σ = 8476802699904. Its totient is φ = 1175921459200.

The previous prime is 3234041320373. The next prime is 3234041320403. The reversal of 3234041320400 is 40231404323.

It is a self number, because there is not a number n which added to its sum of digits gives 3234041320400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3234041320403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80442704 + ... + 80482896.

Almost surely, 23234041320400 is an apocalyptic number.

It is an amenable number.

3234041320400 is an abundant number, since it is smaller than the sum of its proper divisors (5242761379504).

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

3234041320400 is a wasteful number, since it uses less digits than its factorization.

3234041320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58509 (or 58498 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 3234041320400 its reverse (40231404323), we get a palindrome (3274272724723).

The spelling of 3234041320400 in words is "three trillion, two hundred thirty-four billion, forty-one million, three hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 18287 36574 40193 73148 80386 91435 146296 160772 182870 200965 201157 292592 321544 365740 401930 402314 442123 457175 643088 731480 803860 804628 884246 914350 1004825 1005785 1462960 1607720 1609256 1768492 1828700 2009650 2011570 2210615 3215440 3218512 3536984 3657400 4019300 4023140 4421230 5028925 7073968 7314800 8038600 8046280 8842460 10057850 11053075 16077200 16092560 17684920 20115700 22106150 35369840 40231400 44212300 80462800 88424600 176849200 735009391 1470018782 2940037564 3675046955 5880075128 7350093910 8085103301 11760150256 14700187820 16170206602 18375234775 29400375640 32340413204 36750469550 40425516505 58800751280 64680826408 73500939100 80851033010 129361652816 147001878200 161702066020 202127582525 294003756400 323404132040 404255165050 646808264080 808510330100 1617020660200 3234041320400