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2304434200340 = 225115221710017
BaseRepresentation
bin100001100010001010111…
…110110101111100010100
322011022010222111121001102
4201202022332311330110
5300223440123402330
64522350434245232
7325330012340246
oct41421276657424
98138128447042
102304434200340
1180933a036468
12312746426818
131393cbc3ba5c
147d76c890096
153ee24acd945
hex2188afb5f14

2304434200340 has 12 divisors (see below), whose sum is σ = 4839311820756. Its totient is φ = 921773680128.

The previous prime is 2304434200309. The next prime is 2304434200349. The reversal of 2304434200340 is 430024344032.

2304434200340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 406531209604 + 1897902990736 = 637598^2 + 1377644^2 .

It is a super-2 number, since 2×23044342003402 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2304434200349) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57610854989 + ... + 57610855028.

It is an arithmetic number, because the mean of its divisors is an integer number (403275985063).

Almost surely, 22304434200340 is an apocalyptic number.

2304434200340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2304434200340 is an abundant number, since it is smaller than the sum of its proper divisors (2534877620416).

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

2304434200340 is a wasteful number, since it uses less digits than its factorization.

2304434200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115221710026 (or 115221710024 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 2304434200340 its reverse (430024344032), we get a palindrome (2734458544372).

The spelling of 2304434200340 in words is "two trillion, three hundred four billion, four hundred thirty-four million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 115221710017 230443420034 460886840068 576108550085 1152217100170 2304434200340