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345375440 = 2454317193
BaseRepresentation
bin10100100101100…
…000001011010000
3220001212220000222
4110211200023100
51201404003230
654134332212
711362433324
oct2445401320
9801786028
10345375440
11167a56753
12977ba068
1356727287
1433c25984
15204c36e5
hex149602d0

345375440 has 20 divisors (see below), whose sum is σ = 802998084. Its totient is φ = 138150144.

The previous prime is 345375421. The next prime is 345375449. The reversal of 345375440 is 44573543.

It can be written as a sum of positive squares in 2 ways, for example, as 91164304 + 254211136 = 9548^2 + 15944^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 345375440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345375449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2158517 + ... + 2158676.

Almost surely, 2345375440 is an apocalyptic number.

It is an amenable number.

345375440 is an abundant number, since it is smaller than the sum of its proper divisors (457622644).

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

345375440 is a wasteful number, since it uses less digits than its factorization.

345375440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317206 (or 4317200 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 35.

The square root of 345375440 is about 18584.2793780119. The cubic root of 345375440 is about 701.6122294648.

The spelling of 345375440 in words is "three hundred forty-five million, three hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 4317193 8634386 17268772 21585965 34537544 43171930 69075088 86343860 172687720 345375440