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3330014320 = 245297918169
BaseRepresentation
bin1100011001111011…
…1111110001110000
322121002000020212201
43012132333301300
523304440424240
61310233432544
7145343440363
oct30636776160
98532006781
103330014320
111459785056
1278b26b754
13410b90999
142383900da
15147530d9a
hexc67bfc70

3330014320 has 80 divisors (see below), whose sum is σ = 8111088000. Its totient is φ = 1269725184.

The previous prime is 3330014297. The next prime is 3330014321. The reversal of 3330014320 is 234100333.

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

It is a super-2 number, since 2×33300143202 = 22177990742810124800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330014321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174196 + ... + 192364.

It is an arithmetic number, because the mean of its divisors is an integer number (101388600).

Almost surely, 23330014320 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 3330014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055544000).

3330014320 is an abundant number, since it is smaller than the sum of its proper divisors (4781073680).

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

3330014320 is a wasteful number, since it uses less digits than its factorization.

3330014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18290 (or 18284 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3330014320 is about 57706.2762617724. The cubic root of 3330014320 is about 1493.3056228028.

Adding to 3330014320 its reverse (234100333), we get a palindrome (3564114653).

The spelling of 3330014320 in words is "three billion, three hundred thirty million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 79 80 116 145 158 232 290 316 395 464 580 632 790 1160 1264 1580 2291 2320 3160 4582 6320 9164 11455 18169 18328 22910 36338 36656 45820 72676 90845 91640 145352 181690 183280 290704 363380 526901 726760 1053802 1435351 1453520 2107604 2634505 2870702 4215208 5269010 5741404 7176755 8430416 10538020 11482808 14353510 21076040 22965616 28707020 41625179 42152080 57414040 83250358 114828080 166500716 208125895 333001432 416251790 666002864 832503580 1665007160 3330014320