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330002010 = 232513282053
BaseRepresentation
bin10011101010110…
…110111001011010
3211222221211122200
4103222312321122
51133440031020
652425031030
711114653662
oct2352667132
9758854580
10330002010
1115a306438
1292625476
13534a3980
1431b831a2
151de88590
hex13ab6e5a

330002010 has 48 divisors (see below), whose sum is σ = 924008904. Its totient is φ = 81230976.

The previous prime is 330001967. The next prime is 330002041. The reversal of 330002010 is 10200033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193182201 + 136819809 = 13899^2 + 11697^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 330001983 and 330002001.

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 23 ways as a sum of consecutive naturals, for example, 139857 + ... + 142196.

Almost surely, 2330002010 is an apocalyptic number.

330002010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330002010 is an abundant number, since it is smaller than the sum of its proper divisors (594006894).

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

330002010 is a wasteful number, since it uses less digits than its factorization.

330002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282079 (or 282076 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 330002010 is about 18165.9574479299. The cubic root of 330002010 is about 691.0437260236.

Adding to 330002010 its reverse (10200033), we get a palindrome (340202043).

The spelling of 330002010 in words is "three hundred thirty million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 282053 564106 846159 1410265 1692318 2538477 2820530 3666689 4230795 5076954 7333378 8461590 11000067 12692385 18333445 22000134 25384770 33000201 36666890 55000335 66000402 110000670 165001005 330002010