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340436063128 = 23731334358661
BaseRepresentation
bin1001111010000111001…
…00100001001110011000
31012112201120111212101211
410331003210201032120
521034203113010003
6420221050152504
733411215535250
oct4750344411630
91175646455354
10340436063128
11121418311a97
1255b8b422734
132614533b395
14126975c0960
158cc75ce96d
hex4f43921398

340436063128 has 64 divisors (see below), whose sum is σ = 753276395520. Its totient is φ = 141150038400.

The previous prime is 340436063101. The next prime is 340436063153. The reversal of 340436063128 is 821360634043.

It is a super-2 number, since 2×3404360631282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5774118 + ... + 5832778.

It is an arithmetic number, because the mean of its divisors is an integer number (11769943680).

Almost surely, 2340436063128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340436063128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376638197760).

340436063128 is an abundant number, since it is smaller than the sum of its proper divisors (412840332392).

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

340436063128 is a wasteful number, since it uses less digits than its factorization.

340436063128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62048 (or 62044 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 340436063128 in words is "three hundred forty billion, four hundred thirty-six million, sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1736 3343 6686 13372 23401 26744 46802 58661 93604 103633 117322 187208 207266 234644 410627 414532 469288 725431 821254 829064 1450862 1642508 1818491 2901724 3285016 3636982 5803448 7273964 12729437 14547928 25458874 50917748 101835496 196103723 392207446 784414892 1372726061 1568829784 2745452122 5490904244 6079215413 10981808488 12158430826 24316861652 42554507891 48633723304 85109015782 170218031564 340436063128