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234313414344 = 23323254352977
BaseRepresentation
bin1101101000111000101…
…0101111011011001000
3211101210201000201222100
43122032022233123020
512314333213224334
6255350405353400
722633335105612
oct3321612573310
9741721021870
10234313414344
119040a8a5279
12394b3108860
131913221c449
14b4ab345db2
156165ad1c99
hex368e2af6c8

234313414344 has 24 divisors (see below), whose sum is σ = 634598830710. Its totient is φ = 78104471424.

The previous prime is 234313414333. The next prime is 234313414351. The reversal of 234313414344 is 443414313432.

234313414344 is a `hidden beast` number, since 2 + 343 + 134 + 143 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 233491904100 + 821510244 = 483210^2 + 28662^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2343134143442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 234313414299 and 234313414308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1627176417 + ... + 1627176560.

Almost surely, 2234313414344 is an apocalyptic number.

234313414344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

234313414344 is an abundant number, since it is smaller than the sum of its proper divisors (400285416366).

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

234313414344 is a wasteful number, since it uses less digits than its factorization.

234313414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254352989 (or 3254352982 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 234313414344 its reverse (443414313432), we get a palindrome (677727727776).

The spelling of 234313414344 in words is "two hundred thirty-four billion, three hundred thirteen million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3254352977 6508705954 9763058931 13017411908 19526117862 26034823816 29289176793 39052235724 58578353586 78104471448 117156707172 234313414344