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234483080944 = 247127127912889
BaseRepresentation
bin1101101001100001000…
…1111101111011110000
3211102020112021200210111
43122120101331323300
512320210132042234
6255415310111104
722640465205460
oct3323021757360
9742215250714
10234483080944
119049764a302
123953baab494
131915b415a98
14b4c5aadba0
156175948664
hex369847def0

234483080944 has 80 divisors (see below), whose sum is σ = 523750604800. Its totient is φ = 99615785472.

The previous prime is 234483080939. The next prime is 234483080971. The reversal of 234483080944 is 449080384432.

It is a super-2 number, since 2×2344830809442 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18186052 + ... + 18198940.

It is an arithmetic number, because the mean of its divisors is an integer number (6546882560).

Almost surely, 2234483080944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234483080944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261875302400).

234483080944 is an abundant number, since it is smaller than the sum of its proper divisors (289267523856).

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

234483080944 is a wasteful number, since it uses less digits than its factorization.

234483080944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14310 (or 14304 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 234483080944 in words is "two hundred thirty-four billion, four hundred eighty-three million, eighty thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 254 508 889 1016 1279 1778 2032 2558 3556 5116 7112 8953 10232 12889 14224 17906 20464 25778 35812 51556 71624 90223 103112 143248 162433 180446 206224 324866 360892 649732 721784 1137031 1299464 1443568 1636903 2274062 2598928 3273806 4548124 6547612 9096248 11458321 13095224 16485031 18192496 22916642 26190448 32970062 45833284 65940124 91666568 115395217 131880248 183333136 230790434 263760496 461580868 923161736 1846323472 2093598937 4187197874 8374395748 14655192559 16748791496 29310385118 33497582992 58620770236 117241540472 234483080944