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340342123440 = 243511128917471
BaseRepresentation
bin1001111001111011111…
…10001010101110110000
31012112111000202020101010
410330331332022232300
521034010040422230
6420203452510520
733405665213514
oct4747576125660
91175430666333
10340342123440
1112137a28a790
1255b63a7b440
132612ba3a177
1412688d2a144
158cbe2259b0
hex4f3df8abb0

340342123440 has 80 divisors (see below), whose sum is σ = 1150975190016. Its totient is φ = 82507180800.

The previous prime is 340342123427. The next prime is 340342123577. The reversal of 340342123440 is 44321243043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340342123398 and 340342123407.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64456096 + ... + 64461375.

Almost surely, 2340342123440 is an apocalyptic number.

340342123440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340342123440 is an abundant number, since it is smaller than the sum of its proper divisors (810633066576).

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

340342123440 is a wasteful number, since it uses less digits than its factorization.

340342123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128917498 (or 128917492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 340342123440 its reverse (44321243043), we get a palindrome (384663366483).

The spelling of 340342123440 in words is "three hundred forty billion, three hundred forty-two million, one hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 128917471 257834942 386752413 515669884 644587355 773504826 1031339768 1289174710 1418092181 1547009652 1933762065 2062679536 2578349420 2836184362 3094019304 3867524130 4254276543 5156698840 5672368724 6188038608 7090460905 7735048260 8508553086 10313397680 11344737448 14180921810 15470096520 17017106172 21271382715 22689474896 28361843620 30940193040 34034212344 42542765430 56723687240 68068424688 85085530860 113447374480 170171061720 340342123440