Search a number
-
+
234324386760 = 233524119514153
BaseRepresentation
bin1101101000111011010…
…0100110001111001000
3211101211110200012022010
43122032310212033020
512314344020334020
6255351440455520
722633530265302
oct3321664461710
9741743605263
10234324386760
1190416009a92
12394b691a5a0
13191345917b9
14b4ac9a0972
156166a4cde0
hex368ed263c8

234324386760 has 128 divisors (see below), whose sum is σ = 706421928960. Its totient is φ = 62180352000.

The previous prime is 234324386753. The next prime is 234324386771. The reversal of 234324386760 is 67683423432.

234324386760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56420844 + ... + 56424996.

It is an arithmetic number, because the mean of its divisors is an integer number (5518921320).

Almost surely, 2234324386760 is an apocalyptic number.

234324386760 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 234324386760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353210964480).

234324386760 is an abundant number, since it is smaller than the sum of its proper divisors (472097542200).

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

234324386760 is a wasteful number, since it uses less digits than its factorization.

234324386760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6355 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 234324386760 in words is "two hundred thirty-four billion, three hundred twenty-four million, three hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 241 482 723 964 1205 1446 1928 1951 2410 2892 3615 3902 4153 4820 5784 5853 7230 7804 8306 9640 9755 11706 12459 14460 15608 16612 19510 20765 23412 24918 28920 29265 33224 39020 41530 46824 49836 58530 62295 78040 83060 99672 117060 124590 166120 234120 249180 470191 498360 940382 1000873 1410573 1880764 2001746 2350955 2821146 3002619 3761528 4003492 4701910 5004365 5642292 6005238 7052865 8006984 8102503 9403820 10008730 11284584 12010476 14105730 15013095 16205006 18807640 20017460 24020952 24307509 28211460 30026190 32410012 40034920 40512515 48615018 56422920 60052380 64820024 81025030 97230036 120104760 121537545 162050060 194460072 243075090 324100120 486150180 972300360 1952703223 3905406446 5858109669 7810812892 9763516115 11716219338 15621625784 19527032230 23432438676 29290548345 39054064460 46864877352 58581096690 78108128920 117162193380 234324386760