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341450000 = 24556829
BaseRepresentation
bin10100010110100…
…001110100010000
3212210111110100022
4110112201310100
51144402400000
653514243012
711314164023
oct2426416420
9783443308
10341450000
11165815491
1296426468
1355981628
14334c31ba
151ee9a585
hex145a1d10

341450000 has 60 divisors (see below), whose sum is σ = 827017380. Its totient is φ = 136560000.

The previous prime is 341449987. The next prime is 341450071. The reversal of 341450000 is 54143.

It can be written as a sum of positive squares in 6 ways, for example, as 276357376 + 65092624 = 16624^2 + 8068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46586 + ... + 53414.

It is an arithmetic number, because the mean of its divisors is an integer number (13783623).

Almost surely, 2341450000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413508690).

341450000 is an abundant number, since it is smaller than the sum of its proper divisors (485567380).

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

341450000 is an frugal number, since it uses more digits than its factorization.

341450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 341450000 is about 18478.3657286027. The cubic root of 341450000 is about 698.9439859385.

The spelling of 341450000 in words is "three hundred forty-one million, four hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 6829 10000 12500 13658 25000 27316 34145 50000 54632 68290 109264 136580 170725 273160 341450 546320 682900 853625 1365800 1707250 2731600 3414500 4268125 6829000 8536250 13658000 17072500 21340625 34145000 42681250 68290000 85362500 170725000 341450000