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34330405314 = 23231579071747
BaseRepresentation
bin11111111110010000…
…000110100111000010
310021121112201021201010
4133332100012213002
51030302040432224
623434323421350
72323511426142
oct377620064702
9107545637633
1034330405314
11136176896a7
1267a1224856
13331159bbca
141939608922
15d5ddb6e29
hex7fe4069c2

34330405314 has 64 divisors (see below), whose sum is σ = 72223220736. Its totient is φ = 10857996864.

The previous prime is 34330405297. The next prime is 34330405321. The reversal of 34330405314 is 41350403343.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19650189 + ... + 19651935.

It is an arithmetic number, because the mean of its divisors is an integer number (1128487824).

Almost surely, 234330405314 is an apocalyptic number.

34330405314 is an abundant number, since it is smaller than the sum of its proper divisors (37892815422).

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

34330405314 is a wasteful number, since it uses less digits than its factorization.

34330405314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839.

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 34330405314 its reverse (41350403343), we get a palindrome (75680808657).

The spelling of 34330405314 in words is "thirty-four billion, three hundred thirty million, four hundred five thousand, three hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 157 314 471 907 942 1747 1814 2721 3494 3611 5241 5442 7222 10482 10833 20861 21666 40181 41722 62583 80362 120543 125166 142399 241086 274279 284798 427197 548558 822837 854394 1584529 1645674 3169058 3275177 4753587 6308417 6550354 9507174 9825531 12616834 18925251 19651062 36444167 37850502 72888334 109332501 218665002 248771053 497542106 746313159 1492626318 5721734219 11443468438 17165202657 34330405314