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234114440 = 23574331931
BaseRepresentation
bin11011111010001…
…00110110001000
3121022112020122012
431331010312020
5434413130230
635121515052
75541640250
oct1575046610
9538466565
10234114440
1111017370a
12664a2a88
133966cc71
1423142960
1515847395
hexdf44d88

234114440 has 64 divisors (see below), whose sum is σ = 603711360. Its totient is φ = 80040960.

The previous prime is 234114427. The next prime is 234114443. The reversal of 234114440 is 44411432.

It is a happy number.

234114440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (234114443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120275 + ... + 122205.

It is an arithmetic number, because the mean of its divisors is an integer number (9432990).

Almost surely, 2234114440 is an apocalyptic number.

234114440 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 234114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

234114440 is an abundant number, since it is smaller than the sum of its proper divisors (369596920).

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

234114440 is a wasteful number, since it uses less digits than its factorization.

234114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 234114440 is about 15300.7986719648. The cubic root of 234114440 is about 616.3244552067.

Adding to 234114440 its reverse (44411432), we get a palindrome (278525872).

The spelling of 234114440 in words is "two hundred thirty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 433 866 1732 1931 2165 3031 3464 3862 4330 6062 7724 8660 9655 12124 13517 15155 15448 17320 19310 24248 27034 30310 38620 54068 60620 67585 77240 108136 121240 135170 270340 540680 836123 1672246 3344492 4180615 5852861 6688984 8361230 11705722 16722460 23411444 29264305 33444920 46822888 58528610 117057220 234114440