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234141024 = 253131631151
BaseRepresentation
bin11011111010010…
…11010101100000
3121022120121002210
431331023111200
5434420003044
635122242120
75542110615
oct1575132540
9538517083
10234141024
11110191687
12664b6340
133967c0b0
142314c50c
15158501b9
hexdf4b560

234141024 has 96 divisors (see below), whose sum is σ = 666537984. Its totient is φ = 71539200.

The previous prime is 234141023. The next prime is 234141029. The reversal of 234141024 is 420141432.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234141023) 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, 202849 + ... + 203999.

It is an arithmetic number, because the mean of its divisors is an integer number (6943104).

Almost surely, 2234141024 is an apocalyptic number.

234141024 is a gapful number since it is divisible by the number (24) 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 234141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333268992).

234141024 is an abundant number, since it is smaller than the sum of its proper divisors (432396960).

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

234141024 is a wasteful number, since it uses less digits than its factorization.

234141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 234141024 is about 15301.6673601278. The cubic root of 234141024 is about 616.3477824723.

Adding to 234141024 its reverse (420141432), we get a palindrome (654282456).

It can be divided in two parts, 2341 and 41024, that added together give a triangular number (43365 = T294).

The spelling of 234141024 in words is "two hundred thirty-four million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 163 208 312 326 416 489 624 652 978 1151 1248 1304 1956 2119 2302 2608 3453 3912 4238 4604 5216 6357 6906 7824 8476 9208 12714 13812 14963 15648 16952 18416 25428 27624 29926 33904 36832 44889 50856 55248 59852 67808 89778 101712 110496 119704 179556 187613 203424 239408 359112 375226 478816 562839 718224 750452 1125678 1436448 1500904 2251356 2438969 3001808 4502712 4877938 6003616 7316907 9005424 9755876 14633814 18010848 19511752 29267628 39023504 58535256 78047008 117070512 234141024