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334014102020 = 22519246262341
BaseRepresentation
bin1001101110001001100…
…10101011101000000100
31011221011000110102220102
410313010302223220010
520433030102231040
6413235521223232
733063116010464
oct4670462535004
91157130412812
10334014102020
11119722286615
1254898791b18
1325660a120b1
1412248731ba4
158a4d8e6515
hex4dc4caba04

334014102020 has 36 divisors (see below), whose sum is σ = 740289996684. Its totient is φ = 126573762240.

The previous prime is 334014102013. The next prime is 334014102041. The reversal of 334014102020 is 20201410433.

It can be written as a sum of positive squares in 2 ways, for example, as 171184097536 + 162830004484 = 413744^2 + 403522^2 .

It is a super-2 number, since 2×3340141020202 (a number of 24 digits) contains 22 as substring.

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 = 334014101983 and 334014102001.

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 11 ways as a sum of consecutive naturals, for example, 23123951 + ... + 23138390.

It is an arithmetic number, because the mean of its divisors is an integer number (20563611019).

Almost surely, 2334014102020 is an apocalyptic number.

It is an amenable number.

334014102020 is an abundant number, since it is smaller than the sum of its proper divisors (406275894664).

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

334014102020 is a wasteful number, since it uses less digits than its factorization.

334014102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46262388 (or 46262367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 334014102020 its reverse (20201410433), we get a palindrome (354215512453).

The spelling of 334014102020 in words is "three hundred thirty-four billion, fourteen million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 46262341 92524682 185049364 231311705 462623410 878984479 925246820 1757968958 3515937916 4394922395 8789844790 16700705101 17579689580 33401410202 66802820404 83503525505 167007051010 334014102020