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3300042120 = 233567410453
BaseRepresentation
bin1100010010110010…
…1010010110001000
322111222121111202020
43010230222112020
523224302321440
61303243204440
7144530616024
oct30454522610
98458544666
103300042120
111443873541
12781216720
134078c855b
142343cb384
15144ab03d0
hexc4b2a588

3300042120 has 64 divisors (see below), whose sum is σ = 10047913920. Its totient is φ = 866874624.

The previous prime is 3300042107. The next prime is 3300042121. The reversal of 3300042120 is 212400033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3300042120.

It is not an unprimeable number, because it can be changed into a prime (3300042121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197187 + ... + 213266.

It is an arithmetic number, because the mean of its divisors is an integer number (156998655).

Almost surely, 23300042120 is an apocalyptic number.

3300042120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3300042120 is an abundant number, since it is smaller than the sum of its proper divisors (6747871800).

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

3300042120 is a wasteful number, since it uses less digits than its factorization.

3300042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410534 (or 410530 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3300042120 is about 57445.9930717539. The cubic root of 3300042120 is about 1488.8118871178.

Adding to 3300042120 its reverse (212400033), we get a palindrome (3512442153).

The spelling of 3300042120 in words is "three billion, three hundred million, forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 410453 820906 1231359 1641812 2052265 2462718 3283624 4104530 4925436 6156795 8209060 9850872 12313590 16418120 24627180 27500351 49254360 55000702 82501053 110001404 137501755 165002106 220002808 275003510 330004212 412505265 550007020 660008424 825010530 1100014040 1650021060 3300042120