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230883408 = 243271132027
BaseRepresentation
bin11011100001100…
…00000001010000
3121002110002111100
431300300001100
5433101232113
634524344400
75502322320
oct1560600120
9532402440
10230883408
11109367138
12653a5100
1338aab402
1422941280
1515409d73
hexdc30050

230883408 has 120 divisors (see below), whose sum is σ = 745363008. Its totient is φ = 65350656.

The previous prime is 230883371. The next prime is 230883427. The reversal of 230883408 is 804388032.

It is a happy number.

230883408 is a `hidden beast` number, since 2 + 308 + 8 + 340 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112891 + ... + 114917.

Almost surely, 2230883408 is an apocalyptic number.

230883408 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 230883408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372681504).

230883408 is an abundant number, since it is smaller than the sum of its proper divisors (514479600).

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

230883408 is a wasteful number, since it uses less digits than its factorization.

230883408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 230883408 is about 15194.8480742652. The cubic root of 230883408 is about 613.4759965342.

The spelling of 230883408 in words is "two hundred thirty million, eight hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 113 126 144 168 226 252 336 339 452 504 678 791 904 1008 1017 1356 1582 1808 2027 2034 2373 2712 3164 4054 4068 4746 5424 6081 6328 7119 8108 8136 9492 12162 12656 14189 14238 16216 16272 18243 18984 24324 28378 28476 32432 36486 37968 42567 48648 56756 56952 72972 85134 97296 113512 113904 127701 145944 170268 227024 229051 255402 291888 340536 458102 510804 681072 687153 916204 1021608 1374306 1603357 1832408 2043216 2061459 2748612 3206714 3664816 4122918 4810071 5497224 6413428 8245836 9620142 10994448 12826856 14430213 16491672 19240284 25653712 28860426 32983344 38480568 57720852 76961136 115441704 230883408