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234527328 = 25327216619
BaseRepresentation
bin11011111101010…
…01101001100000
3121100022020000100
431332221221200
5440014333303
635134422400
75545310100
oct1576515140
9540266010
10234527328
11110425942
1266661a00
1339785b89
142320d200
15158c98a3
hexdfa9a60

234527328 has 108 divisors (see below), whose sum is σ = 775871460. Its totient is φ = 67003776.

The previous prime is 234527327. The next prime is 234527329. The reversal of 234527328 is 823725432.

It is an interprime number because it is at equal distance from previous prime (234527327) and next prime (234527329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 234527292 and 234527301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234527323) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5803 + ... + 22421.

It is an arithmetic number, because the mean of its divisors is an integer number (7183995).

Almost surely, 2234527328 is an apocalyptic number.

234527328 is a gapful number since it is divisible by the number (28) 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 234527328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387935730).

234527328 is an abundant number, since it is smaller than the sum of its proper divisors (541344132).

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

234527328 is a wasteful number, since it uses less digits than its factorization.

234527328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16631 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 234527328 is about 15314.2850959488. The cubic root of 234527328 is about 616.6865623319.

The spelling of 234527328 in words is "two hundred thirty-four million, five hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3528 4704 7056 14112 16619 33238 49857 66476 99714 116333 132952 149571 199428 232666 265904 299142 348999 398856 465332 531808 598284 697998 797712 814331 930664 1046997 1196568 1395996 1595424 1628662 1861328 2093994 2393136 2442993 2791992 3257324 3722656 4187988 4786272 4885986 5583984 6514648 7328979 8375976 9771972 11167968 13029296 14657958 16751952 19543944 26058592 29315916 33503904 39087888 58631832 78175776 117263664 234527328