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330005730 = 23561180331
BaseRepresentation
bin10011101010110…
…111110011100010
3211222222000202110
4103222313303202
51133440140410
652425100150
711115000555
oct2352676342
9758860673
10330005730
1115a30920a
1292627656
13534a5582
1431b8469c
151de89720
hex13ab7ce2

330005730 has 32 divisors (see below), whose sum is σ = 805002048. Its totient is φ = 86558400.

The previous prime is 330005723. The next prime is 330005747. The reversal of 330005730 is 37500033.

It is a junction number, because it is equal to n+sod(n) for n = 330005697 and 330005706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88336 + ... + 91995.

It is an arithmetic number, because the mean of its divisors is an integer number (25156314).

Almost surely, 2330005730 is an apocalyptic number.

330005730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330005730 is an abundant number, since it is smaller than the sum of its proper divisors (474996318).

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

330005730 is a wasteful number, since it uses less digits than its factorization.

330005730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180402.

The product of its (nonzero) digits is 945, while the sum is 21.

The square root of 330005730 is about 18166.0598369597. The cubic root of 330005730 is about 691.0463226472.

Adding to 330005730 its reverse (37500033), we get a palindrome (367505763).

The spelling of 330005730 in words is "three hundred thirty million, five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 180331 360662 540993 901655 1081986 1803310 2704965 5409930 11000191 22000382 33000573 55000955 66001146 110001910 165002865 330005730