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330001020 = 22335611113
BaseRepresentation
bin10011101010110…
…110101001111100
3211222221210022000
4103222312221330
51133440013040
652425022300
711114651046
oct2352665174
9758853260
10330001020
1115a305718
1292624990
13534a339b
1431b82a96
151de88130
hex13ab6a7c

330001020 has 48 divisors (see below), whose sum is σ = 1026671520. Its totient is φ = 88000128.

The previous prime is 330001003. The next prime is 330001027. The reversal of 330001020 is 20100033.

It is a happy number.

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 = 330000993 and 330001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330001027) by changing a digit.

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, 305017 + ... + 306096.

It is an arithmetic number, because the mean of its divisors is an integer number (21388990).

Almost surely, 2330001020 is an apocalyptic number.

330001020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330001020 is an abundant number, since it is smaller than the sum of its proper divisors (696670500).

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

330001020 is a wasteful number, since it uses less digits than its factorization.

330001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611131 (or 611123 counting only the distinct ones).

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

The square root of 330001020 is about 18165.9301991393. The cubic root of 330001020 is about 691.0430349834.

Adding to 330001020 its reverse (20100033), we get a palindrome (350101053).

The spelling of 330001020 in words is "three hundred thirty million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 611113 1222226 1833339 2444452 3055565 3666678 5500017 6111130 7333356 9166695 11000034 12222260 16500051 18333390 22000068 27500085 33000102 36666780 55000170 66000204 82500255 110000340 165000510 330001020