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340110216020 = 225433109735801
BaseRepresentation
bin1001111001100000010…
…01100000101101010100
31012111212212101010012102
410330300021200231110
521033021203403040
6420124450141232
733400151064551
oct4746011405524
91174785333172
10340110216020
11121270394263
1255aba281818
13260c2990943
14126661dda28
158ca8bb7515
hex4f30260b54

340110216020 has 48 divisors (see below), whose sum is σ = 716553543888. Its totient is φ = 135602380800.

The previous prime is 340110215993. The next prime is 340110216023. The reversal of 340110216020 is 20612011043.

It can be written as a sum of positive squares in 8 ways, for example, as 100515629764 + 239594586256 = 317042^2 + 489484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 340110215983 and 340110216001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340110216023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9482120 + ... + 9517920.

It is an arithmetic number, because the mean of its divisors is an integer number (14928198831).

Almost surely, 2340110216020 is an apocalyptic number.

It is an amenable number.

340110216020 is an abundant number, since it is smaller than the sum of its proper divisors (376443327868).

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

340110216020 is a wasteful number, since it uses less digits than its factorization.

340110216020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37340 (or 37338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 340110216020 its reverse (20612011043), we get a palindrome (360722227063).

The spelling of 340110216020 in words is "three hundred forty billion, one hundred ten million, two hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 20 433 866 1097 1732 2165 2194 4330 4388 5485 8660 10970 21940 35801 71602 143204 179005 358010 475001 716020 950002 1900004 2375005 4750010 9500020 15501833 31003666 39273697 62007332 77509165 78547394 155018330 157094788 196368485 310036660 392736970 785473940 17005510801 34011021602 68022043204 85027554005 170055108010 340110216020