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234444040 = 235192511229
BaseRepresentation
bin11011111100101…
…01010100001000
3121100010222202121
431332111110020
5440004202130
635132541024
75544512215
oct1576252410
9540128677
10234444040
11110379306
1266621774
1339756cac
14231cab0c
15158aed7a
hexdf95508

234444040 has 64 divisors (see below), whose sum is σ = 557928000. Its totient is φ = 88416000.

The previous prime is 234444031. The next prime is 234444043. The reversal of 234444040 is 40444432.

234444040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234443996 and 234444014.

It is not an unprimeable number, because it can be changed into a prime (234444043) 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, 190146 + ... + 191374.

It is an arithmetic number, because the mean of its divisors is an integer number (8717625).

Almost surely, 2234444040 is an apocalyptic number.

234444040 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 234444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278964000).

234444040 is an abundant number, since it is smaller than the sum of its proper divisors (323483960).

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

234444040 is a wasteful number, since it uses less digits than its factorization.

234444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

The square root of 234444040 is about 15311.5655633250. The cubic root of 234444040 is about 616.6135521171.

Adding to 234444040 its reverse (40444432), we get a palindrome (274888472).

The spelling of 234444040 in words is "two hundred thirty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 251 380 502 760 1004 1229 1255 2008 2458 2510 4769 4916 5020 6145 9538 9832 10040 12290 19076 23351 23845 24580 38152 46702 47690 49160 93404 95380 116755 186808 190760 233510 308479 467020 616958 934040 1233916 1542395 2467832 3084790 5861101 6169580 11722202 12339160 23444404 29305505 46888808 58611010 117222020 234444040