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345287782660 = 22546889368197
BaseRepresentation
bin1010000011001001100…
…00010111000100000100
31020000020200212202101211
411001210300113010010
521124122133021120
6422342323301204
733642360504202
oct5014460270404
91200220782354
10345287782660
11123487a51757
1256b0421a804
1326739550942
14129d7ac4072
158ead4e625a
hex5064c17104

345287782660 has 24 divisors (see below), whose sum is σ = 725121777240. Its totient is φ = 138111792384.

The previous prime is 345287782643. The next prime is 345287782669. The reversal of 345287782660 is 66287782543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 130690926144 + 214596856516 = 361512^2 + 463246^2 .

It is a junction number, because it is equal to n+sod(n) for n = 345287782595 and 345287782604.

It is not an unprimeable number, because it can be changed into a prime (345287782669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 753682 + ... + 1121878.

It is an arithmetic number, because the mean of its divisors is an integer number (30213407385).

Almost surely, 2345287782660 is an apocalyptic number.

It is an amenable number.

345287782660 is an abundant number, since it is smaller than the sum of its proper divisors (379833994580).

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

345287782660 is a wasteful number, since it uses less digits than its factorization.

345287782660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415095 (or 415093 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 345287782660 in words is "three hundred forty-five billion, two hundred eighty-seven million, seven hundred eighty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 46889 93778 187556 234445 368197 468890 736394 937780 1472788 1840985 3681970 7363940 17264389133 34528778266 69057556532 86321945665 172643891330 345287782660