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345301323024 = 24372433733851
BaseRepresentation
bin1010000011001011001…
…00000000110100010000
31020000021122100200021210
411001211210000310100
521124134114314044
6422343525420120
733642613550400
oct5014544006420
91200248320253
10345301323024
1112349465a839
1256b0886a640
132673c2b1aa8
14129d980a800
158eae7bd1b9
hex5065900d10

345301323024 has 120 divisors (see below), whose sum is σ = 1037935630368. Its totient is φ = 98631859200.

The previous prime is 345301323001. The next prime is 345301323041. The reversal of 345301323024 is 420323103543.

It is a junction number, because it is equal to n+sod(n) for n = 345301322982 and 345301323000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10183699 + ... + 10217549.

Almost surely, 2345301323024 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 345301323024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518967815184).

345301323024 is an abundant number, since it is smaller than the sum of its proper divisors (692634307344).

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

345301323024 is a wasteful number, since it uses less digits than its factorization.

345301323024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38213 (or 38200 counting only the distinct ones).

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

Adding to 345301323024 its reverse (420323103543), we get a palindrome (765624426567).

The spelling of 345301323024 in words is "three hundred forty-five billion, three hundred one million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 4337 8674 13011 17348 26022 30359 33851 34696 52044 60718 67702 69392 91077 101553 104088 121436 135404 182154 203106 208176 212513 236957 242872 270808 364308 406212 425026 473914 485744 541616 637539 710871 728616 812424 850052 947828 1275078 1421742 1457232 1624848 1658699 1700104 1895656 2550156 2843484 3317398 3400208 3791312 4976097 5100312 5686968 6634796 9952194 10200624 11373936 13269592 19904388 26539184 39808776 79617552 146811787 293623574 440435361 587247148 880870722 1027682509 1174494296 1761741444 2055365018 2348988592 3083047527 3523482888 4110730036 6166095054 7046965776 7193777563 8221460072 12332190108 14387555126 16442920144 21581332689 24664380216 28775110252 43162665378 49328760432 57550220504 86325330756 115100441008 172650661512 345301323024