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341222420 = 225711220143
BaseRepresentation
bin10100010101101…
…010010000010100
3212210001220011102
4110111222100110
51144323104140
653505325232
711312225360
oct2425522024
9783056142
10341222420
1116567a500
1296336818
1355901b76
14334642a0
151ee52e15
hex1456a414

341222420 has 72 divisors (see below), whose sum is σ = 900195072. Its totient is φ = 106349760.

The previous prime is 341222393. The next prime is 341222449. The reversal of 341222420 is 24222143.

341222420 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 a Harshad number since it is a multiple of its sum of digits (20).

341222420 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 341222392 and 341222401.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6869 + ... + 27011.

Almost surely, 2341222420 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 341222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450097536).

341222420 is an abundant number, since it is smaller than the sum of its proper divisors (558972652).

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

341222420 is a wasteful number, since it uses less digits than its factorization.

341222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20181 (or 20168 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 341222420 is about 18472.2066900519. The cubic root of 341222420 is about 698.7886669313.

Adding to 341222420 its reverse (24222143), we get a palindrome (365444563).

The spelling of 341222420 in words is "three hundred forty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 242 308 385 484 605 770 847 1210 1540 1694 2420 3388 4235 8470 16940 20143 40286 80572 100715 141001 201430 221573 282002 402860 443146 564004 705005 886292 1107865 1410010 1551011 2215730 2437303 2820020 3102022 4431460 4874606 6204044 7755055 9749212 12186515 15510110 17061121 24373030 31020220 34122242 48746060 68244484 85305605 170611210 341222420