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30259328 = 271121491
BaseRepresentation
bin111001101101…
…1100010000000
32002221022222212
41303123202000
530221244303
63000321252
7515125421
oct163334200
962838885
1030259328
1116098310
12a173228
136366038
144039648
1529caad8
hex1cdb880

30259328 has 32 divisors (see below), whose sum is σ = 65765520. Its totient is φ = 13753600.

The previous prime is 30259319. The next prime is 30259349. The reversal of 30259328 is 82395203.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×302593283 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 30259294 and 30259303.

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 3 ways as a sum of consecutive naturals, for example, 9338 + ... + 12153.

Almost surely, 230259328 is an apocalyptic number.

It is an amenable number.

30259328 is an abundant number, since it is smaller than the sum of its proper divisors (35506192).

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

30259328 is a wasteful number, since it uses less digits than its factorization.

30259328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21516 (or 21504 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 30259328 is about 5500.8479346370. The cubic root of 30259328 is about 311.6160079839.

The spelling of 30259328 in words is "thirty million, two hundred fifty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 21491 42982 85964 171928 236401 343856 472802 687712 945604 1375424 1891208 2750848 3782416 7564832 15129664 30259328