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340300560138 = 237111151639949
BaseRepresentation
bin1001111001110110111…
…11100111011100001010
31012112101010112121020120
410330323133213130022
521033413420411023
6420155410004110
733404652014640
oct4747337473412
91175333477216
10340300560138
11121358881650
1255b51b76636
1326123246bb6
14126835cb190
158cba7658e3
hex4f3b7e770a

340300560138 has 64 divisors (see below), whose sum is σ = 849280204800. Its totient is φ = 88312824000.

The previous prime is 340300560137. The next prime is 340300560161. The reversal of 340300560138 is 831065003043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 340300560099 and 340300560108.

It is not an unprimeable number, because it can be changed into a prime (340300560137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211788 + ... + 851736.

It is an arithmetic number, because the mean of its divisors is an integer number (13270003200).

Almost surely, 2340300560138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340300560138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424640102400).

340300560138 is an abundant number, since it is smaller than the sum of its proper divisors (508979644662).

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

340300560138 is a wasteful number, since it uses less digits than its factorization.

340300560138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641123.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 340300560138 in words is "three hundred forty billion, three hundred million, five hundred sixty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 1151 2302 3453 6906 8057 12661 16114 24171 25322 37983 48342 75966 88627 177254 265881 531762 639949 1279898 1919847 3839694 4479643 7039439 8959286 13438929 14078878 21118317 26877858 42236634 49276073 98552146 147828219 295656438 736581299 1473162598 2209743897 4419487794 5156069093 8102394289 10312138186 15468207279 16204788578 24307182867 30936414558 48614365734 56716760023 113433520046 170150280069 340300560138