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234725948976 = 24379229270307
BaseRepresentation
bin1101101010011011000…
…0011011111000110000
3211102212110021200002210
43122212300123320300
512321204320331401
6255455343412120
722646504434521
oct3324660337060
9742773250083
10234725948976
1190601751692
12395a92b4040
131919982c18c
14b50a050848
15618be1e4d6
hex36a6c1be30

234725948976 has 80 divisors (see below), whose sum is σ = 616734732800. Its totient is φ = 76913950464.

The previous prime is 234725948927. The next prime is 234725948987. The reversal of 234725948976 is 679849527432.

234725948976 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2347259489762 (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 733215 + ... + 1003521.

It is an arithmetic number, because the mean of its divisors is an integer number (7709184160).

Almost surely, 2234725948976 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 234725948976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308367366400).

234725948976 is an abundant number, since it is smaller than the sum of its proper divisors (382008783824).

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

234725948976 is a wasteful number, since it uses less digits than its factorization.

234725948976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270626 (or 270620 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 234725948976 in words is "two hundred thirty-four billion, seven hundred twenty-five million, nine hundred forty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 229 237 316 458 474 632 687 916 948 1264 1374 1832 1896 2748 3664 3792 5496 10992 18091 36182 54273 72364 108546 144728 217092 270307 289456 434184 540614 810921 868368 1081228 1621842 2162456 3243684 4324912 6487368 12974736 21354253 42708506 61900303 64062759 85417012 123800606 128125518 170834024 185700909 247601212 256251036 341668048 371401818 495202424 512502072 742803636 990404848 1025004144 1485607272 2971214544 4890123937 9780247874 14670371811 19560495748 29340743622 39120991496 58681487244 78241982992 117362974488 234725948976