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341114000 = 2453170557
BaseRepresentation
bin10100010101001…
…111110010010000
3212202212101102212
4110111033302100
51144311122000
653503131252
711311264313
oct2425176220
9782771385
10341114000
11165605aa7
12962a3b28
1355894706
143343697a
151ee30c35
hex1454fc90

341114000 has 40 divisors (see below), whose sum is σ = 824818488. Its totient is φ = 136444800.

The previous prime is 341113991. The next prime is 341114009. The reversal of 341114000 is 411143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (341113991) and next prime (341114009).

It can be written as a sum of positive squares in 4 ways, for example, as 91853056 + 249260944 = 9584^2 + 15788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (341114009) 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, 83279 + ... + 87278.

Almost surely, 2341114000 is an apocalyptic number.

It is an amenable number.

341114000 is an abundant number, since it is smaller than the sum of its proper divisors (483704488).

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

341114000 is a wasteful number, since it uses less digits than its factorization.

341114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170580 (or 170564 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 341114000 is about 18469.2717777394. The cubic root of 341114000 is about 698.7146480622.

Adding to 341114000 its reverse (411143), we get a palindrome (341525143).

The spelling of 341114000 in words is "three hundred forty-one million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 170557 341114 682228 852785 1364456 1705570 2728912 3411140 4263925 6822280 8527850 13644560 17055700 21319625 34111400 42639250 68222800 85278500 170557000 341114000