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340431122323220 = 225172459112829039
BaseRepresentation
bin100110101100111101100110…
…0000111011101011100010100
31122122100220020020120210120012
41031121323030013131130110
5324110110414303320340
63204011522032055352
7131464223366033045
oct11531731407353424
91578326206523505
10340431122323220
1199521034591a75
12322219ba094558
13117c569506b386
14600cd505cc8cc
1529555dc393565
hex1359ecc1dd714

340431122323220 has 72 divisors (see below), whose sum is σ = 759597810961920. Its totient is φ = 128134378897920.

The previous prime is 340431122323207. The next prime is 340431122323249. The reversal of 340431122323220 is 22323221134043.

It is a super-2 number, since 2×3404311223232202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20121461 + ... + 32950499.

Almost surely, 2340431122323220 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 340431122323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379798905480960).

340431122323220 is an abundant number, since it is smaller than the sum of its proper divisors (419166688638700).

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

340431122323220 is a wasteful number, since it uses less digits than its factorization.

340431122323220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12833673 (or 12833654 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 340431122323220 its reverse (22323221134043), we get a palindrome (362754343457263).

The spelling of 340431122323220 in words is "three hundred forty trillion, four hundred thirty-one billion, one hundred twenty-two million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 4591 5780 9182 18364 22955 45910 78047 91820 156094 312188 390235 780470 1326799 1560940 2653598 5307196 6633995 12829039 13267990 25658078 26535980 51316156 64145195 128290390 218093663 256580780 436187326 872374652 1090468315 2180936630 3707592271 4361873260 7415184542 14830369084 18537961355 37075922710 58898118049 74151845420 117796236098 235592472196 294490590245 588981180490 1001268006833 1177962360980 2002536013666 4005072027332 5006340034165 10012680068330 17021556116161 20025360136660 34043112232322 68086224464644 85107780580805 170215561161610 340431122323220