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234640120 = 23511131719127
BaseRepresentation
bin11011111110001…
…01001011111000
3121100111221201211
431333011023320
5440031440440
635141052504
75546256661
oct1577051370
9540457654
10234640120
111104a2660
12666b7134
13397c5310
142323c368
15158eceea
hexdfc52f8

234640120 has 256 divisors, whose sum is σ = 696729600. Its totient is φ = 69672960.

The previous prime is 234640117. The next prime is 234640123. The reversal of 234640120 is 21046432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (234640117) and next prime (234640123).

It is a super-2 number, since 2×2346401202 = 110111971827228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 234640091 and 234640100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234640123) 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, 1847497 + ... + 1847623.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2234640120 is an apocalyptic number.

234640120 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 234640120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348364800).

234640120 is an abundant number, since it is smaller than the sum of its proper divisors (462089480).

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

234640120 is a wasteful number, since it uses less digits than its factorization.

234640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 234640120 is about 15317.9672280626. The cubic root of 234640120 is about 616.7854081871.

Adding to 234640120 its reverse (21046432), we get a palindrome (255686552).

The spelling of 234640120 in words is "two hundred thirty-four million, six hundred forty thousand, one hundred twenty".