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123434220 = 223571323747
BaseRepresentation
bin1110101101101…
…11010011101100
322121021002220210
413112313103230
5223044343340
620125342420
73026113350
oct726672354
9277232823
10123434220
1163747a58
1235407a10
131c75a100
1412571460
15ac83180
hex75b74ec

123434220 has 288 divisors, whose sum is σ = 448616448. Its totient is φ = 24800256.

The previous prime is 123434177. The next prime is 123434243. The reversal of 123434220 is 22434321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2626237 + ... + 2626283.

It is an arithmetic number, because the mean of its divisors is an integer number (1557696).

Almost surely, 2123434220 is an apocalyptic number.

123434220 is a gapful number since it is divisible by the number (10) 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 123434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224308224).

123434220 is an abundant number, since it is smaller than the sum of its proper divisors (325182228).

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

123434220 is a wasteful number, since it uses less digits than its factorization.

123434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 123434220 is about 11110.0954091313. The cubic root of 123434220 is about 497.9035151217.

Adding to 123434220 its reverse (22434321), we get a palindrome (145868541).

The spelling of 123434220 in words is "one hundred twenty-three million, four hundred thirty-four thousand, two hundred twenty".