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34514022330 = 23251613237749
BaseRepresentation
bin100000001001001100…
…100010111110111010
310022002100012222220100
4200021030202332322
51031141042203310
623504443140230
72331201230544
oct401114427672
9108070188810
1034514022330
11137012a18a7
126832814676
13334063b228
141955b64694
15d70086ec0
hex809322fba

34514022330 has 48 divisors (see below), whose sum is σ = 89792469000. Its totient is φ = 9197994624.

The previous prime is 34514022317. The next prime is 34514022331. The reversal of 34514022330 is 3322041543.

It can be written as a sum of positive squares in 4 ways, for example, as 30139390449 + 4374631881 = 173607^2 + 66141^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34514022294 and 34514022303.

It is not an unprimeable number, because it can be changed into a prime (34514022331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26296 + ... + 264044.

Almost surely, 234514022330 is an apocalyptic number.

34514022330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34514022330 is an abundant number, since it is smaller than the sum of its proper divisors (55278446670).

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

34514022330 is a wasteful number, since it uses less digits than its factorization.

34514022330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239375 (or 239372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 34514022330 its reverse (3322041543), we get a palindrome (37836063873).

The spelling of 34514022330 in words is "thirty-four billion, five hundred fourteen million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1613 3226 4839 8065 9678 14517 16130 24195 29034 48390 72585 145170 237749 475498 713247 1188745 1426494 2139741 2377490 3566235 4279482 7132470 10698705 21397410 383489137 766978274 1150467411 1917445685 2300934822 3451402233 3834891370 5752337055 6902804466 11504674110 17257011165 34514022330