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234270120 = 233572959163
BaseRepresentation
bin11011111011010…
…10110110101000
3121022211011012010
431331222312220
5434433120440
635125115520
75543156160
oct1575526650
9538734163
10234270120
1111026a677
1266558ba0
13396c5a96
14231835a0
1515878580
hexdf6ada8

234270120 has 256 divisors, whose sum is σ = 850176000. Its totient is φ = 50512896.

The previous prime is 234270107. The next prime is 234270121. The reversal of 234270120 is 21072432.

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

It is not an unprimeable number, because it can be changed into a prime (234270121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1437159 + ... + 1437321.

It is an arithmetic number, because the mean of its divisors is an integer number (3321000).

Almost surely, 2234270120 is an apocalyptic number.

234270120 is a gapful number since it is divisible by the number (20) 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 234270120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425088000).

234270120 is an abundant number, since it is smaller than the sum of its proper divisors (615905880).

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

234270120 is a wasteful number, since it uses less digits than its factorization.

234270120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 234270120 is about 15305.8851426502. The cubic root of 234270120 is about 616.4610381688.

The spelling of 234270120 in words is "two hundred thirty-four million, two hundred seventy thousand, one hundred twenty".