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341435220 = 22357827983
BaseRepresentation
bin10100010110011…
…110001101010100
3212210110201001220
4110112132031110
51144401411340
653514050340
711314102650
oct2426361524
9783421056
10341435220
11165805375
12964199b0
1355977999
14334bba60
151ee95ed0
hex1459e354

341435220 has 96 divisors (see below), whose sum is σ = 1095026688. Its totient is φ = 77868672.

The previous prime is 341435219. The next prime is 341435221. The reversal of 341435220 is 22534143.

341435220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (341435219) and next prime (341435221).

341435220 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (341435221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346849 + ... + 347831.

It is an arithmetic number, because the mean of its divisors is an integer number (11406528).

Almost surely, 2341435220 is an apocalyptic number.

341435220 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 341435220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547513344).

341435220 is an abundant number, since it is smaller than the sum of its proper divisors (753591468).

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

341435220 is a wasteful number, since it uses less digits than its factorization.

341435220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 341435220 is about 18477.9657971325. The cubic root of 341435220 is about 698.9339009664.

Adding to 341435220 its reverse (22534143), we get a palindrome (363969363).

The spelling of 341435220 in words is "three hundred forty-one million, four hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 827 983 1654 1966 2481 2949 3308 3932 4135 4915 4962 5789 5898 6881 8270 9830 9924 11578 11796 12405 13762 14745 16540 17367 19660 20643 23156 24810 27524 28945 29490 34405 34734 41286 49620 57890 58980 68810 69468 82572 86835 103215 115780 137620 173670 206430 347340 412860 812941 1625882 2438823 3251764 4064705 4877646 5690587 8129410 9755292 11381174 12194115 16258820 17071761 22762348 24388230 28452935 34143522 48776460 56905870 68287044 85358805 113811740 170717610 341435220