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34330451321 = 17219411091399
BaseRepresentation
bin11111111110010000…
…010001110101111001
310021121112210121211002
4133332100101311321
51030302043420241
623434324414345
72323512010235
oct377620216571
9107545717732
1034330451321
1113617710221
1267a12473b5
1333115b6b2a
14193961b5c5
15d5ddc589b
hex7fe411d79

34330451321 has 48 divisors (see below), whose sum is σ = 39713520000. Its totient is φ = 29568706560.

The previous prime is 34330451279. The next prime is 34330451357. The reversal of 34330451321 is 12315403343.

It is not a de Polignac number, because 34330451321 - 26 = 34330451257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34330451821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24538580 + ... + 24539978.

It is an arithmetic number, because the mean of its divisors is an integer number (827365000).

Almost surely, 234330451321 is an apocalyptic number.

It is an amenable number.

34330451321 is a deficient number, since it is larger than the sum of its proper divisors (5383068679).

34330451321 is a wasteful number, since it uses less digits than its factorization.

34330451321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

Adding to 34330451321 its reverse (12315403343), we get a palindrome (46645854664).

The spelling of 34330451321 in words is "thirty-four billion, three hundred thirty million, four hundred fifty-one thousand, three hundred twenty-one".

Divisors: 1 17 19 41 109 289 323 697 779 1399 1853 2071 4469 5491 11849 13243 23783 26581 31501 35207 57359 75973 84911 152491 225131 404311 451877 598519 975103 1089821 1291541 1443487 2592347 2897329 6252131 7681909 16576751 18526957 24539279 44069899 49254593 106286227 118790489 314958269 837328081 1806865859 2019438313 34330451321