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344120004330132 = 223316738871549631
BaseRepresentation
bin100111000111110011010111…
…0100111100100001010010100
31200010102112212202212220102110
41032033212232213210022110
5330101030232102031012
63215514314135511020
7132324564334525512
oct11617465647441224
91603375782786373
10344120004330132
119a7135242885a8
1232718919228470
1311a024b983a274
1460d96d5da34b2
1529bb53ea9473c
hex138f9ae9e4294

344120004330132 has 96 divisors (see below), whose sum is σ = 831016119435264. Its totient is φ = 110716476595200.

The previous prime is 344120004330121. The next prime is 344120004330173. The reversal of 344120004330132 is 231033400021443.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 344120004330132.

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, 221290957 + ... + 222840587.

It is an arithmetic number, because the mean of its divisors is an integer number (8656417910784).

Almost surely, 2344120004330132 is an apocalyptic number.

It is an amenable number.

344120004330132 is an abundant number, since it is smaller than the sum of its proper divisors (486896115105132).

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

344120004330132 is a wasteful number, since it uses less digits than its factorization.

344120004330132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551229 (or 1551227 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344120004330132 its reverse (231033400021443), we get a palindrome (575153404351575).

The spelling of 344120004330132 in words is "three hundred forty-four trillion, one hundred twenty billion, four million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 673 887 1346 1774 2019 2661 2692 3548 4038 5322 8076 10644 20863 27497 41726 54994 62589 82491 83452 109988 125178 164982 250356 329964 596951 1193902 1549631 1790853 2387804 3099262 3581706 4648893 6198524 7163412 9297786 18505481 18595572 37010962 48038561 55516443 74021924 96077122 111032886 144115683 192154244 222065772 288231366 576462732 1042901663 1374522697 2085803326 2749045394 3128704989 4123568091 4171606652 5498090788 6257409978 8247136182 12514819956 16494272364 32329951553 42610203607 64659903106 85220407214 96989854659 127830610821 129319806212 170440814428 193979709318 255661221642 387959418636 511322443284 925053775081 1850107550162 2775161325243 3700215100324 5550322650486 11100645300972 28676667027511 57353334055022 86030001082533 114706668110044 172060002165066 344120004330132