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341140000 = 255437461
BaseRepresentation
bin10100010101010…
…110001000100000
3212202220201002211
4110111112020200
51144312440000
653503451504
711311433155
oct2425261040
9782821084
10341140000
11165623593
12962b6b94
13558a34b6
143344222c
151ee387ba
hex14556220

341140000 has 120 divisors (see below), whose sum is σ = 863807868. Its totient is φ = 132480000.

The previous prime is 341139977. The next prime is 341140031. The reversal of 341140000 is 41143.

It can be written as a sum of positive squares in 10 ways, for example, as 7420176 + 333719824 = 2724^2 + 18268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 739770 + ... + 740230.

Almost surely, 2341140000 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 341140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431903934).

341140000 is an abundant number, since it is smaller than the sum of its proper divisors (522667868).

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

341140000 is an equidigital number, since it uses as much as digits as its factorization.

341140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 341140000 is about 18469.9756361507. The cubic root of 341140000 is about 698.7323998200.

Adding to 341140000 its reverse (41143), we get a palindrome (341181143).

The spelling of 341140000 in words is "three hundred forty-one million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 125 148 160 185 200 250 296 370 400 461 500 592 625 740 800 922 925 1000 1184 1250 1480 1844 1850 2000 2305 2500 2960 3688 3700 4000 4610 4625 5000 5920 7376 7400 9220 9250 10000 11525 14752 14800 17057 18440 18500 20000 23050 23125 29600 34114 36880 37000 46100 46250 57625 68228 73760 74000 85285 92200 92500 115250 136456 148000 170570 184400 185000 230500 272912 288125 341140 368800 370000 426425 461000 545824 576250 682280 740000 852850 922000 1152500 1364560 1705700 1844000 2132125 2305000 2729120 3411400 4264250 4610000 6822800 8528500 9220000 10660625 13645600 17057000 21321250 34114000 42642500 68228000 85285000 170570000 341140000