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341416000 = 265342677
BaseRepresentation
bin10100010110011…
…001100001000000
3212210102201201001
4110112121201000
51144400303000
653513421344
711313662632
oct2426314100
9783381631
10341416000
111657a1992
129640a854
135596c003
14334b4a52
151ee9046a
hex14599840

341416000 has 56 divisors (see below), whose sum is σ = 845536536. Its totient is φ = 136563200.

The previous prime is 341415961. The next prime is 341416003. The reversal of 341416000 is 614143.

It is a happy number.

341416000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 331531264 = 3144^2 + 18208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341416003) 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, 13339 + ... + 29338.

Almost surely, 2341416000 is an apocalyptic number.

It is an amenable number.

341416000 is an abundant number, since it is smaller than the sum of its proper divisors (504120536).

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

341416000 is an equidigital number, since it uses as much as digits as its factorization.

341416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42704 (or 42684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 341416000 is about 18477.4457109201. The cubic root of 341416000 is about 698.9207859734.

The spelling of 341416000 in words is "three hundred forty-one million, four hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 42677 85354 170708 213385 341416 426770 682832 853540 1066925 1365664 1707080 2133850 2731328 3414160 4267700 5334625 6828320 8535400 10669250 13656640 17070800 21338500 34141600 42677000 68283200 85354000 170708000 341416000