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340004344032 = 25322814201319
BaseRepresentation
bin1001111001010011101…
…01101001000011100000
31012111121111011021010200
410330221311221003200
521032312103002112
6420110145025200
733364424145063
oct4745165510340
91174544137120
10340004344032
11121216652051
1255a8a925200
13260a6a724b2
14126561208da
158c9e752cdc
hex4f29d690e0

340004344032 has 72 divisors (see below), whose sum is σ = 970328464560. Its totient is φ = 112931427840.

The previous prime is 340004344007. The next prime is 340004344033. The reversal of 340004344032 is 230443400043.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3400043440322 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340004343987 and 340004344005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340004344033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019732 + ... + 2181587.

It is an arithmetic number, because the mean of its divisors is an integer number (13476784230).

Almost surely, 2340004344032 is an apocalyptic number.

340004344032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

340004344032 is an abundant number, since it is smaller than the sum of its proper divisors (630324120528).

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

340004344032 is a wasteful number, since it uses less digits than its factorization.

340004344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201616 (or 4201605 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 340004344032 its reverse (230443400043), we get a palindrome (570447744075).

The spelling of 340004344032 in words is "three hundred forty billion, four million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 843 1124 1686 2248 2529 3372 4496 5058 6744 8992 10116 13488 20232 26976 40464 80928 4201319 8402638 12603957 16805276 25207914 33610552 37811871 50415828 67221104 75623742 100831656 134442208 151247484 201663312 302494968 403326624 604989936 1180570639 1209979872 2361141278 3541711917 4722282556 7083423834 9444565112 10625135751 14166847668 18889130224 21250271502 28333695336 37778260448 42500543004 56667390672 85001086008 113334781344 170002172016 340004344032