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3300030104 = 2373115112589
BaseRepresentation
bin1100010010110010…
…0111011010011000
322111222120220021012
43010230213122120
523224301430404
61303243033052
7144530536010
oct30454473230
98458526235
103300030104
111443865508
1278120b788
134078c2c47
142343c6c40
15144aaba6e
hexc4b27698

3300030104 has 64 divisors (see below), whose sum is σ = 7348531200. Its totient is φ = 1359504000.

The previous prime is 3300030101. The next prime is 3300030193. The reversal of 3300030104 is 4010300033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300030101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255842 + ... + 268430.

It is an arithmetic number, because the mean of its divisors is an integer number (114820800).

Almost surely, 23300030104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3674265600).

3300030104 is an abundant number, since it is smaller than the sum of its proper divisors (4048501096).

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

3300030104 is a wasteful number, since it uses less digits than its factorization.

3300030104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12784 (or 12780 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 3300030104 is about 57445.8884864705. Note that the first 3 decimals coincide. The cubic root of 3300030104 is about 1488.8100801120.

Adding to 3300030104 its reverse (4010300033), we get a palindrome (7310330137).

The spelling of 3300030104 in words is "three billion, three hundred million, thirty thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 151 217 248 302 434 604 868 1057 1208 1736 2114 4228 4681 8456 9362 12589 18724 25178 32767 37448 50356 65534 88123 100712 131068 176246 262136 352492 390259 704984 780518 1561036 1900939 2731813 3122072 3801878 5463626 7603756 10927252 13306573 15207512 21854504 26613146 53226292 58929109 106452584 117858218 235716436 412503763 471432872 825007526 1650015052 3300030104