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234808507336 = 231347136735141
BaseRepresentation
bin1101101010101110101…
…1010111101111001000
3211110002012122001212211
43122223223113233020
512321341434213321
6255511453114504
722651526244454
oct3325353275710
9743065561784
10234808507336
119064430aa37
1239610a88a34
13191b0976b90
14b516dc1664
1561942cb0e1
hex36abad7bc8

234808507336 has 64 divisors (see below), whose sum is σ = 484588500480. Its totient is φ = 105986737920.

The previous prime is 234808507333. The next prime is 234808507361. The reversal of 234808507336 is 633705808432.

It is a self number, because there is not a number n which added to its sum of digits gives 234808507336.

It is not an unprimeable number, because it can be changed into a prime (234808507333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6664326 + ... + 6699466.

It is an arithmetic number, because the mean of its divisors is an integer number (7571695320).

Almost surely, 2234808507336 is an apocalyptic number.

234808507336 is a gapful number since it is divisible by the number (26) 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 234808507336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242294250240).

234808507336 is an abundant number, since it is smaller than the sum of its proper divisors (249779993144).

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

234808507336 is a wasteful number, since it uses less digits than its factorization.

234808507336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36574 (or 36570 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 234808507336 in words is "two hundred thirty-four billion, eight hundred eight million, five hundred seven thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 1222 1367 2444 2734 4888 5468 10936 17771 35141 35542 64249 70282 71084 128498 140564 142168 256996 281128 456833 513992 835237 913666 1651627 1670474 1827332 3303254 3340948 3654664 6606508 6681896 13213016 21471151 42942302 48037747 85884604 96075494 171769208 192150988 384301976 624490711 1248981422 2257774109 2497962844 4515548218 4995925688 9031096436 18062192872 29351063417 58702126834 117404253668 234808507336