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343134134420233 = 131710931345509369
BaseRepresentation
bin100111000000101000010010…
…0001100010100001100001001
31122222221022011210201102120211
41032001100210030110030021
5324433402201402421413
63213441351210121121
7132163423504542442
oct11601204414241411
91588838153642524
10343134134420233
119a373407434522
123259983b4201a1
1311960543acb0b0
1460a3ad04182c9
1529a0a8daab83d
hex1381424314309

343134134420233 has 32 divisors (see below), whose sum is σ = 396117197229600. Its totient is φ = 294428863512576.

The previous prime is 343134134420219. The next prime is 343134134420239. The reversal of 343134134420233 is 332024431431343.

It can be written as a sum of positive squares in 16 ways, for example, as 56031033510544 + 287103100909689 = 7485388^2 + 16944117^2 .

It is not a de Polignac number, because 343134134420233 - 229 = 343133597549321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (343134134420239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15214828 + ... + 30294541.

It is an arithmetic number, because the mean of its divisors is an integer number (12378662413425).

Almost surely, 2343134134420233 is an apocalyptic number.

It is an amenable number.

343134134420233 is a deficient number, since it is larger than the sum of its proper divisors (52983062809367).

343134134420233 is a wasteful number, since it uses less digits than its factorization.

343134134420233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45509821.

The product of its (nonzero) digits is 746496, while the sum is 40.

Adding to 343134134420233 its reverse (332024431431343), we get a palindrome (675158565851576).

The spelling of 343134134420233 in words is "three hundred forty-three trillion, one hundred thirty-four billion, one hundred thirty-four million, four hundred twenty thousand, two hundred thirty-three".

Divisors: 1 13 17 109 221 313 1417 1853 4069 5321 24089 34117 69173 443521 579989 7539857 45509369 591621797 773659273 4960521221 10057570549 14244432497 64486775873 84328860757 185177622461 242155352449 1096275189841 1552643142173 3148019581837 20184360848249 26394933416941 343134134420233