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3412330012 = 227413151181
BaseRepresentation
bin1100101101100100…
…0000011000011100
322210210220022210001
43023121000120130
523442024030022
61322334024044
7150363220000
oct31331003034
98723808701
103412330012
1114a1198053
127b2948024
13424c520b0
1424529a700
1514e890b27
hexcb64061c

3412330012 has 120 divisors (see below), whose sum is σ = 7593712672. Its totient is φ = 1333584000.

The previous prime is 3412329997. The next prime is 3412330021. The reversal of 3412330012 is 2100332143.

It is a super-2 number, since 2×34123300122 = 23287992221591840288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18852562 + ... + 18852742.

Almost surely, 23412330012 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 3412330012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796856336).

3412330012 is an abundant number, since it is smaller than the sum of its proper divisors (4181382660).

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

3412330012 is a wasteful number, since it uses less digits than its factorization.

3412330012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3412330012 is about 58415.1522466560. The cubic root of 3412330012 is about 1505.5101065147.

Adding to 3412330012 its reverse (2100332143), we get a palindrome (5512662155).

The spelling of 3412330012 in words is "three billion, four hundred twelve million, three hundred thirty thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 151 181 182 196 302 343 362 364 604 637 686 724 1057 1267 1274 1372 1963 2114 2353 2401 2534 2548 3926 4228 4459 4706 4802 5068 7399 7852 8869 8918 9412 9604 13741 14798 16471 17738 17836 27331 27482 29596 31213 32942 35476 51793 54662 54964 62083 62426 65884 96187 103586 109324 115297 124166 124852 191317 192374 207172 230594 248332 355303 362551 382634 384748 434581 461188 673309 710606 725102 765268 807079 869162 1339219 1346618 1421212 1450204 1614158 1738324 2487121 2678438 2693236 3228316 4713163 4974242 5356876 5649553 9374533 9426326 9948484 11299106 17409847 18749066 18852652 22598212 34819694 37498132 65621731 69639388 121868929 131243462 243737858 262486924 487475716 853082503 1706165006 3412330012