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3300041140 = 22511312292113
BaseRepresentation
bin1100010010110010…
…1010000110110100
322111222121110101221
43010230222012310
523224302304030
61303243200124
7144530613124
oct30454520664
98458543357
103300041140
111443872830
12781216044
134078c7c86
142343cac84
15144aaee7a
hexc4b2a1b4

3300041140 has 96 divisors (see below), whose sum is σ = 7841756160. Its totient is φ = 1155686400.

The previous prime is 3300041111. The next prime is 3300041141. The reversal of 3300041140 is 411400033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300041141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560724 + ... + 1562836.

It is an arithmetic number, because the mean of its divisors is an integer number (81684960).

Almost surely, 23300041140 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 3300041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920878080).

3300041140 is an abundant number, since it is smaller than the sum of its proper divisors (4541715020).

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

3300041140 is a wasteful number, since it uses less digits than its factorization.

3300041140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3300041140 is about 57445.9845420026. The cubic root of 3300041140 is about 1488.8117397423.

Adding to 3300041140 its reverse (411400033), we get a palindrome (3711441173).

The spelling of 3300041140 in words is "three billion, three hundred million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 229 310 341 458 620 682 916 1145 1364 1705 2113 2290 2519 3410 4226 4580 5038 6820 7099 8452 10076 10565 12595 14198 21130 23243 25190 28396 35495 42260 46486 50380 65503 70990 78089 92972 116215 131006 141980 156178 232430 262012 312356 327515 390445 464860 483877 655030 720533 780890 967754 1310060 1441066 1561780 1935508 2419385 2882132 3602665 4838770 5322647 7205330 9677540 10645294 14410660 15000187 21290588 26613235 30000374 53226470 60000748 75000935 106452940 150001870 165002057 300003740 330004114 660008228 825010285 1650020570 3300041140