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345248020 = 225131327877
BaseRepresentation
bin10100100101000…
…001000100010100
3220001122102020201
4110211001010110
51201340414040
654131510244
711361362665
oct2445010424
9801572221
10345248020
11167979a47
1297758384
13566b1290
1433bd136c
152049aa9a
hex14941114

345248020 has 24 divisors (see below), whose sum is σ = 780792264. Its totient is φ = 127476096.

The previous prime is 345247979. The next prime is 345248021. The reversal of 345248020 is 20842543.

It can be written as a sum of positive squares in 4 ways, for example, as 12404484 + 332843536 = 3522^2 + 18244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 345248020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345248021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663679 + ... + 664198.

It is an arithmetic number, because the mean of its divisors is an integer number (32533011).

Almost surely, 2345248020 is an apocalyptic number.

It is an amenable number.

345248020 is an abundant number, since it is smaller than the sum of its proper divisors (435544244).

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

345248020 is a wasteful number, since it uses less digits than its factorization.

345248020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327899 (or 1327897 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 345248020 is about 18580.8508954784. The cubic root of 345248020 is about 701.5259364860.

The spelling of 345248020 in words is "three hundred forty-five million, two hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1327877 2655754 5311508 6639385 13278770 17262401 26557540 34524802 69049604 86312005 172624010 345248020