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345284044660 = 22573306177261
BaseRepresentation
bin1010000011001001000…
…10000110011101110100
31020000020102211211211101
411001210202012131310
521124120203412120
6422342111215444
733642313645222
oct5014442063564
91200212754741
10345284044660
111234859292a5
1256b02b17584
13267388423c9
14129d73cdb12
158ead00890a
hex5064886774

345284044660 has 48 divisors (see below), whose sum is σ = 735278966352. Its totient is φ = 136175385600.

The previous prime is 345284044649. The next prime is 345284044663. The reversal of 345284044660 is 66440482543.

It can be written as a sum of positive squares in 8 ways, for example, as 48734094564 + 296549950096 = 220758^2 + 544564^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345284044660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345284044663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4430430 + ... + 4507690.

It is an arithmetic number, because the mean of its divisors is an integer number (15318311799).

Almost surely, 2345284044660 is an apocalyptic number.

It is an amenable number.

345284044660 is an abundant number, since it is smaller than the sum of its proper divisors (389994921692).

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

345284044660 is a wasteful number, since it uses less digits than its factorization.

345284044660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80404 (or 80402 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 46.

The spelling of 345284044660 in words is "three hundred forty-five billion, two hundred eighty-four million, forty-four thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 3061 6122 12244 15305 30610 61220 77261 154522 223453 309044 386305 446906 772610 893812 1117265 1545220 2234530 4469060 5640053 11280106 22560212 28200265 56400530 112801060 236495921 472991842 945983684 1182479605 2364959210 4729918420 17264202233 34528404466 69056808932 86321011165 172642022330 345284044660