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345262073244 = 223112502347339
BaseRepresentation
bin1010000011000110011…
…10010010010110011100
31020000011220111120201020
411001203032102112130
521124044042320434
6422340004244140
733641626125504
oct5014316222634
91200156446636
10345262073244
11123474491900
1256ab76a0650
132673411b87a
14129d4510a04
158eab118849
hex506339259c

345262073244 has 72 divisors (see below), whose sum is σ = 885701859840. Its totient is φ = 104601831840.

The previous prime is 345262073227. The next prime is 345262073281. The reversal of 345262073244 is 442370262543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345262073196 and 345262073205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7269727 + ... + 7317065.

It is an arithmetic number, because the mean of its divisors is an integer number (12301414720).

Almost surely, 2345262073244 is an apocalyptic number.

It is an amenable number.

345262073244 is an abundant number, since it is smaller than the sum of its proper divisors (540439786596).

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

345262073244 is a wasteful number, since it uses less digits than its factorization.

345262073244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52391 (or 52378 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 42.

The spelling of 345262073244 in words is "three hundred forty-five billion, two hundred sixty-two million, seventy-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1452 5023 10046 15069 20092 30138 47339 55253 60276 94678 110506 142017 165759 189356 221012 284034 331518 520729 568068 607783 663036 1041458 1215566 1562187 1823349 2082916 2431132 3124374 3646698 5728019 6248748 7293396 11456038 17184057 22912076 34368114 68736228 237783797 475567594 713351391 951135188 1426702782 2615621767 2853405564 5231243534 7846865301 10462487068 15693730602 28771839437 31387461204 57543678874 86315518311 115087357748 172631036622 345262073244