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345022053200 = 24521192984407
BaseRepresentation
bin1010000010101001110…
…10101011101101010000
31012222120011212022002222
411001110322223231100
521123101121200300
6422300112000212
733632653030556
oct5012472535520
91188504768088
10345022053200
11123360a55230
1256a4b230068
13266c6491886
14129b06b1bd6
158e95006785
hex5054eabb50

345022053200 has 120 divisors (see below), whose sum is σ = 905255542080. Its totient is φ = 125326028800.

The previous prime is 345022053193. The next prime is 345022053217. The reversal of 345022053200 is 2350220543.

It is a self number, because there is not a number n which added to its sum of digits gives 345022053200.

It is a congruent number.

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, 4045397 + ... + 4129803.

It is an arithmetic number, because the mean of its divisors is an integer number (7543796184).

Almost surely, 2345022053200 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 345022053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452627771040).

345022053200 is an abundant number, since it is smaller than the sum of its proper divisors (560233488880).

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

345022053200 is a wasteful number, since it uses less digits than its factorization.

345022053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85365 (or 85354 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

Adding to 345022053200 its reverse (2350220543), we get a palindrome (347372273743).

The spelling of 345022053200 in words is "three hundred forty-five billion, twenty-two million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 929 1100 1858 2200 3716 4400 4645 7432 9290 10219 14864 18580 20438 23225 37160 40876 46450 51095 74320 81752 84407 92900 102190 163504 168814 185800 204380 255475 337628 371600 408760 422035 510950 675256 817520 844070 928477 1021900 1350512 1688140 1856954 2043800 2110175 3376280 3713908 4087600 4220350 4642385 6752560 7427816 8440700 9284770 14855632 16881400 18569540 23211925 33762800 37139080 46423850 74278160 78414103 92847700 156828206 185695400 313656412 371390800 392070515 627312824 784141030 862555133 1254625648 1568282060 1725110266 1960352575 3136564120 3450220532 3920705150 4312775665 6273128240 6900441064 7841410300 8625551330 13800882128 15682820600 17251102660 21563878325 31365641200 34502205320 43127756650 69004410640 86255513300 172511026600 345022053200