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3330141312 = 27310781049
BaseRepresentation
bin1100011001111101…
…1110110010000000
322121002020201002010
43012133132302000
523310004010222
61310240252520
7145344506541
oct30637366200
98532221063
103330141312
111459861503
1278b311140
13410c06724
142383c44c8
1514755880c
hexc67dec80

3330141312 has 64 divisors (see below), whose sum is σ = 8928468000. Its totient is φ = 1099659264.

The previous prime is 3330141263. The next prime is 3330141313. The reversal of 3330141312 is 2131410333.

3330141312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33301413122 = 22179682315778162688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3330141313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564 + ... + 81612.

Almost surely, 23330141312 is an apocalyptic number.

3330141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464234000).

3330141312 is an abundant number, since it is smaller than the sum of its proper divisors (5598326688).

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

3330141312 is a wasteful number, since it uses less digits than its factorization.

3330141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81173 (or 81161 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 3330141312 is about 57707.3765822013. The cubic root of 3330141312 is about 1493.3246052494.

Adding to 3330141312 its reverse (2131410333), we get a palindrome (5461551645).

The spelling of 3330141312 in words is "three billion, three hundred thirty million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 41088 81049 162098 243147 324196 486294 648392 972588 1296784 1945176 2593568 3890352 5187136 7780704 8672243 10374272 15561408 17344486 26016729 31122816 34688972 52033458 69377944 104066916 138755888 208133832 277511776 416267664 555023552 832535328 1110047104 1665070656 3330141312