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3301122320 = 2451910931987
BaseRepresentation
bin1100010011000011…
…0010000100010000
322112001122101111122
43010300302010100
523230041403240
61303322301412
7144543035216
oct30460620420
98461571448
103301122320
111444441071
12781657868
13407bb6122
142345cccb6
15144c254b5
hexc4c32110

3301122320 has 80 divisors (see below), whose sum is σ = 8090523840. Its totient is φ = 1249178112.

The previous prime is 3301122313. The next prime is 3301122329. The reversal of 3301122320 is 232211033.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3301122329) 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, 1660367 + ... + 1662353.

It is an arithmetic number, because the mean of its divisors is an integer number (101131548).

Almost surely, 23301122320 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 3301122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045261920).

3301122320 is an abundant number, since it is smaller than the sum of its proper divisors (4789401520).

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

3301122320 is a wasteful number, since it uses less digits than its factorization.

3301122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 3301122320 is about 57455.3941767002. The cubic root of 3301122320 is about 1488.9743132427.

Adding to 3301122320 its reverse (232211033), we get a palindrome (3533333353).

The spelling of 3301122320 in words is "three billion, three hundred one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1093 1520 1987 2186 3974 4372 5465 7948 8744 9935 10930 15896 17488 19870 20767 21860 31792 37753 39740 41534 43720 75506 79480 83068 87440 103835 151012 158960 166136 188765 207670 302024 332272 377530 415340 604048 755060 830680 1510120 1661360 2171791 3020240 4343582 8687164 10858955 17374328 21717910 34748656 41264029 43435820 82528058 86871640 165056116 173743280 206320145 330112232 412640290 660224464 825280580 1650561160 3301122320