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235411968 = 2931113933
BaseRepresentation
bin11100000100000…
…01101000000000
3121101222011111210
432002001220000
5440231140333
635205410120
75555653161
oct1602015000
9541864453
10235411968
1111097a550
1266a09940
1339a0572c
142339d768
1515a01a63
hexe081a00

235411968 has 80 divisors (see below), whose sum is σ = 684215136. Its totient is φ = 71331840.

The previous prime is 235411963. The next prime is 235411997. The reversal of 235411968 is 869114532.

It is not an unprimeable number, because it can be changed into a prime (235411963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9930 + ... + 23862.

Almost surely, 2235411968 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 235411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342107568).

235411968 is an abundant number, since it is smaller than the sum of its proper divisors (448803168).

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

235411968 is a wasteful number, since it uses less digits than its factorization.

235411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13949 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 235411968 is about 15343.1407475784. The cubic root of 235411968 is about 617.4609725808.

The spelling of 235411968 in words is "two hundred thirty-five million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 13933 16896 27866 41799 55732 83598 111464 153263 167196 222928 306526 334392 445856 459789 613052 668784 891712 919578 1226104 1337568 1783424 1839156 2452208 2675136 3566848 3678312 4904416 5350272 7133696 7356624 9808832 10700544 14713248 19617664 21401088 29426496 39235328 58852992 78470656 117705984 235411968