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34452345400 = 235211139112663
BaseRepresentation
bin100000000101100001…
…010001001000111000
310021221001011111001121
4200011201101020320
51031024300023100
623454401155024
72326522050454
oct400541211070
9107831144047
1034452345400
111367a4a6030
12681602ba74
133330924bc5
14194b8ab664
15d6995251a
hex805851238

34452345400 has 96 divisors (see below), whose sum is σ = 88013116800. Its totient is φ = 12437884800.

The previous prime is 34452345391. The next prime is 34452345407. The reversal of 34452345400 is 454325443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34452345407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249469 + ... + 362131.

It is an arithmetic number, because the mean of its divisors is an integer number (916803300).

Almost surely, 234452345400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34452345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44006558400).

34452345400 is an abundant number, since it is smaller than the sum of its proper divisors (53560771400).

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

34452345400 is a wasteful number, since it uses less digits than its factorization.

34452345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112829 (or 112820 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 34.

The spelling of 34452345400 in words is "thirty-four billion, four hundred fifty-two million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 139 200 220 275 278 440 550 556 695 1100 1112 1390 1529 2200 2780 3058 3475 5560 6116 6950 7645 12232 13900 15290 27800 30580 38225 61160 76450 112663 152900 225326 305800 450652 563315 901304 1126630 1239293 2253260 2478586 2816575 4506520 4957172 5633150 6196465 9914344 11266300 12392930 15660157 22532600 24785860 30982325 31320314 49571720 61964650 62640628 78300785 123929300 125281256 156601570 172261727 247858600 313203140 344523454 391503925 626406280 689046908 783007850 861308635 1378093816 1566015700 1722617270 3132031400 3445234540 4306543175 6890469080 8613086350 17226172700 34452345400