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34340414320 = 2453769113891
BaseRepresentation
bin11111111110110110…
…010010001101110000
310021122020112210111001
4133332312102031300
51030312121224240
623435322131344
72323662464002
oct377666221560
9107566483431
1034340414320
11136222a5603
1267a4650b54
1333136948b4
14193aa92372
15d5ebe289a
hex7fed92370

34340414320 has 40 divisors (see below), whose sum is σ = 79863348240. Its totient is φ = 13732400640.

The previous prime is 34340414309. The next prime is 34340414323. The reversal of 34340414320 is 2341404343.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×343404143202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34340414323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 244575 + ... + 358465.

It is an arithmetic number, because the mean of its divisors is an integer number (1996583706).

Almost surely, 234340414320 is an apocalyptic number.

It is an amenable number.

34340414320 is an abundant number, since it is smaller than the sum of its proper divisors (45522933920).

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

34340414320 is a wasteful number, since it uses less digits than its factorization.

34340414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117673 (or 117667 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34340414320 its reverse (2341404343), we get a palindrome (36681818663).

The spelling of 34340414320 in words is "thirty-four billion, three hundred forty million, four hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3769 7538 15076 18845 30152 37690 60304 75380 113891 150760 227782 301520 455564 569455 911128 1138910 1822256 2277820 4555640 9111280 429255179 858510358 1717020716 2146275895 3434041432 4292551790 6868082864 8585103580 17170207160 34340414320