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234733856 = 2574161419
BaseRepresentation
bin11011111110111…
…00000100100000
3121100200201022112
431333130010200
5440042440411
635143054452
75550130160
oct1577340440
9540621275
10234733856
11110557025
1266741428
1339828b96
14232645a0
151591ab8b
hexdfdc120

234733856 has 96 divisors (see below), whose sum is σ = 551214720. Its totient is φ = 96307200.

The previous prime is 234733853. The next prime is 234733867. The reversal of 234733856 is 658337432.

234733856 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 Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (234733853) 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, 560015 + ... + 560433.

It is an arithmetic number, because the mean of its divisors is an integer number (5741820).

Almost surely, 2234733856 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 234733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275607360).

234733856 is an abundant number, since it is smaller than the sum of its proper divisors (316480864).

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

234733856 is a wasteful number, since it uses less digits than its factorization.

234733856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 530 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The square root of 234733856 is about 15321.0265974575. The cubic root of 234733856 is about 616.8675301191.

The spelling of 234733856 in words is "two hundred thirty-four million, seven hundred thirty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 61 82 112 122 164 224 244 287 328 419 427 488 574 656 838 854 976 1148 1312 1676 1708 1952 2296 2501 2933 3352 3416 4592 5002 5866 6704 6832 9184 10004 11732 13408 13664 17179 17507 20008 23464 25559 34358 35014 40016 46928 51118 68716 70028 80032 93856 102236 120253 137432 140056 178913 204472 240506 274864 280112 357826 408944 481012 549728 560224 715652 817888 962024 1047919 1431304 1924048 2095838 2862608 3848096 4191676 5725216 7335433 8383352 14670866 16766704 29341732 33533408 58683464 117366928 234733856