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341340000 = 253545689
BaseRepresentation
bin10100010110000…
…110111101100000
3212210021212110020
4110112012331200
51144340340000
653512033440
711313225231
oct2426067540
9783255406
10341340000
1116574a881
1296392880
1355943541
1433495088
151ee77ba0
hex14586f60

341340000 has 120 divisors (see below), whose sum is σ = 1119860280. Its totient is φ = 91008000.

The previous prime is 341339983. The next prime is 341340007. The reversal of 341340000 is 43143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341340007) 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 19 ways as a sum of consecutive naturals, for example, 57156 + ... + 62844.

It is an arithmetic number, because the mean of its divisors is an integer number (9332169).

Almost surely, 2341340000 is an apocalyptic number.

341340000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 341340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559930140).

341340000 is an abundant number, since it is smaller than the sum of its proper divisors (778520280).

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

341340000 is an equidigital number, since it uses as much as digits as its factorization.

341340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 341340000 is about 18475.3890351462. The cubic root of 341340000 is about 698.8689216577.

Adding to 341340000 its reverse (43143), we get a palindrome (341383143).

The spelling of 341340000 in words is "three hundred forty-one million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 5689 6000 7500 10000 11378 12000 15000 17067 20000 22756 28445 30000 34134 45512 56890 60000 68268 85335 91024 113780 136536 142225 170670 182048 227560 273072 284450 341340 426675 455120 546144 568900 682680 711125 853350 910240 1137800 1365360 1422250 1706700 2133375 2275600 2730720 2844500 3413400 3555625 4266750 4551200 5689000 6826800 7111250 8533500 10666875 11378000 13653600 14222500 17067000 21333750 22756000 28445000 34134000 42667500 56890000 68268000 85335000 113780000 170670000 341340000