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234978832 = 24114361509
BaseRepresentation
bin11100000000101…
…11111000010000
3121101011011100201
432000113320100
5440123310312
635152224544
75552200324
oct1600277020
9541134321
10234978832
11110704090
126683b154
13398b353a
14232c9984
1515968557
hexe017e10

234978832 has 80 divisors (see below), whose sum is σ = 517556160. Its totient is φ = 102412800.

The previous prime is 234978817. The next prime is 234978881. The reversal of 234978832 is 238879432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461394 + ... + 461902.

It is an arithmetic number, because the mean of its divisors is an integer number (6469452).

Almost surely, 2234978832 is an apocalyptic number.

234978832 is a gapful number since it is divisible by the number (22) 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 234978832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258778080).

234978832 is an abundant number, since it is smaller than the sum of its proper divisors (282577328).

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

234978832 is a wasteful number, since it uses less digits than its factorization.

234978832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 234978832 is about 15329.0192771749. The cubic root of 234978832 is about 617.0820499482.

The spelling of 234978832 in words is "two hundred thirty-four million, nine hundred seventy-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 43 44 61 86 88 122 172 176 244 344 473 488 509 671 688 946 976 1018 1342 1892 2036 2623 2684 3784 4072 5246 5368 5599 7568 8144 10492 10736 11198 20984 21887 22396 28853 31049 41968 43774 44792 57706 62098 87548 89584 115412 124196 175096 230824 240757 248392 341539 350192 461648 481514 496784 683078 963028 1335107 1366156 1926056 2670214 2732312 3852112 5340428 5464624 10680856 14686177 21361712 29372354 58744708 117489416 234978832