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34582237369 = 172109392
BaseRepresentation
bin100000001101010000…
…110001000010111001
310022021002120200100021
4200031100301002321
51031311023043434
623515321210441
72332660111321
oct401520610271
9108232520307
1034582237369
1113736853869
126851630a21
133351803464
141960c40281
15d7605dcb4
hex80d4310b9

34582237369 has 9 divisors (see below), whose sum is σ = 36739506927. Its totient is φ = 32545012704.

The previous prime is 34582237343. The next prime is 34582237381. The reversal of 34582237369 is 96373228543.

The square root of 34582237369 is 185963.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 26923887225 + 7658350144 = 164085^2 + 87512^2 .

It is not a de Polignac number, because 34582237369 - 25 = 34582237337 is a prime.

It is a super-2 number, since 2×345822373692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34582237309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3155902 + ... + 3166840.

Almost surely, 234582237369 is an apocalyptic number.

34582237369 is the 185963-rd square number.

34582237369 is the 92982-nd centered octagonal number.

It is an amenable number.

34582237369 is a deficient number, since it is larger than the sum of its proper divisors (2157269558).

34582237369 is an frugal number, since it uses more digits than its factorization.

34582237369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21912 (or 10956 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 52.

The spelling of 34582237369 in words is "thirty-four billion, five hundred eighty-two million, two hundred thirty-seven thousand, three hundred sixty-nine".

Divisors: 1 17 289 10939 185963 3161371 119661721 2034249257 34582237369