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34434220240 = 245761489679
BaseRepresentation
bin100000000100011100…
…001000000011010000
310021212210001122000101
4200010130020003100
51031010130021430
623452512502144
72326212020440
oct400434100320
9107783048011
1034434220240
1113670246362
12680bb4a954
133329c49c64
141949310120
15d68071dca
hex8047080d0

34434220240 has 40 divisors (see below), whose sum is σ = 91496643840. Its totient is φ = 11806018176.

The previous prime is 34434220213. The next prime is 34434220241. The reversal of 34434220240 is 4202243443.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34434220199 and 34434220208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34434220241) 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, 30744280 + ... + 30745399.

It is an arithmetic number, because the mean of its divisors is an integer number (2287416096).

Almost surely, 234434220240 is an apocalyptic number.

It is an amenable number.

34434220240 is an abundant number, since it is smaller than the sum of its proper divisors (57062423600).

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

34434220240 is a wasteful number, since it uses less digits than its factorization.

34434220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61489699 (or 61489693 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 34434220240 its reverse (4202243443), we get a palindrome (38636463683).

The spelling of 34434220240 in words is "thirty-four billion, four hundred thirty-four million, two hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 61489679 122979358 245958716 307448395 430427753 491917432 614896790 860855506 983834864 1229793580 1721711012 2152138765 2459587160 3443422024 4304277530 4919174320 6886844048 8608555060 17217110120 34434220240