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3300201320 = 235136419901
BaseRepresentation
bin1100010010110101…
…0001001101101000
322111222220121010112
43010231101031220
523224322420240
61303250433452
7144532151123
oct30455211550
98458817115
103300201320
111443972109
12781292888
13407952b60
1423442d3ba
15144ae2665
hexc4b51368

3300201320 has 64 divisors (see below), whose sum is σ = 8009925840. Its totient is φ = 1216512000.

The previous prime is 3300201319. The next prime is 3300201323. The reversal of 3300201320 is 231020033.

It can be written as a sum of positive squares in 8 ways, for example, as 2469493636 + 830707684 = 49694^2 + 28822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3300201295 and 3300201304.

It is not an unprimeable number, because it can be changed into a prime (3300201323) 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, 328370 + ... + 338270.

Almost surely, 23300201320 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 3300201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004962920).

3300201320 is an abundant number, since it is smaller than the sum of its proper divisors (4709724520).

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

3300201320 is a wasteful number, since it uses less digits than its factorization.

3300201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10566 (or 10562 counting only the distinct ones).

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

The square root of 3300201320 is about 57447.3787043412. The cubic root of 3300201320 is about 1488.8358277255.

Adding to 3300201320 its reverse (231020033), we get a palindrome (3531221353).

The spelling of 3300201320 in words is "three billion, three hundred million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 641 1282 2564 3205 5128 6410 8333 9901 12820 16666 19802 25640 33332 39604 41665 49505 66664 79208 83330 99010 128713 166660 198020 257426 333320 396040 514852 643565 1029704 1287130 2574260 5148520 6346541 12693082 25386164 31732705 50772328 63465410 82505033 126930820 165010066 253861640 330020132 412525165 660040264 825050330 1650100660 3300201320