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230435328 = 293712113
BaseRepresentation
bin11011011110000…
…10101000000000
3121001121022211210
431233002220000
5432442412303
634511010120
75465445054
oct1557025000
9531538753
10230435328
11109090522
1265209940
1338982486
1422865c64
151536c203
hexdbc2a00

230435328 has 80 divisors (see below), whose sum is σ = 622835136. Its totient is φ = 75694080.

The previous prime is 230435291. The next prime is 230435333. The reversal of 230435328 is 823534032.

It is a junction number, because it is equal to n+sod(n) for n = 230435295 and 230435304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 108000 + ... + 110112.

Almost surely, 2230435328 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 230435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311417568).

230435328 is an abundant number, since it is smaller than the sum of its proper divisors (392399808).

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

230435328 is an equidigital number, since it uses as much as digits as its factorization.

230435328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 230435328 is about 15180.0964423814. The cubic root of 230435328 is about 613.0788778547.

The spelling of 230435328 in words is "two hundred thirty million, four hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 2113 2272 3408 4226 4544 6339 6816 8452 9088 12678 13632 16904 18176 25356 27264 33808 36352 50712 54528 67616 101424 109056 135232 150023 202848 270464 300046 405696 450069 540928 600092 811392 900138 1081856 1200184 1622784 1800276 2400368 3245568 3600552 4800736 7201104 9601472 14402208 19202944 28804416 38405888 57608832 76811776 115217664 230435328