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3412105116 = 2237417912541
BaseRepresentation
bin1100101101100000…
…1001011110011100
322210210110220021120
43023120021132130
523441444330431
61322325130540
7150361262220
oct31330113634
98723426246
103412105116
1114a1054092
127b2859a50
13424ba3914
1424523c780
1514e849196
hexcb60979c

3412105116 has 96 divisors (see below), whose sum is σ = 9439610880. Its totient is φ = 938995200.

The previous prime is 3412105097. The next prime is 3412105127. The reversal of 3412105116 is 6115012143.

It is a happy number.

3412105116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34121051162 = 23284922645266746912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265806 + ... + 278346.

It is an arithmetic number, because the mean of its divisors is an integer number (98329280).

Almost surely, 23412105116 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 3412105116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719805440).

3412105116 is an abundant number, since it is smaller than the sum of its proper divisors (6027505764).

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

3412105116 is a wasteful number, since it uses less digits than its factorization.

3412105116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12675 (or 12673 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 3412105116 is about 58413.2272349337. The cubic root of 3412105116 is about 1505.4770313003.

Adding to 3412105116 its reverse (6115012143), we get a palindrome (9527117259).

The spelling of 3412105116 in words is "three billion, four hundred twelve million, one hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 79 82 84 123 158 164 237 246 287 316 474 492 553 574 861 948 1106 1148 1659 1722 2212 3239 3318 3444 6478 6636 9717 12541 12956 19434 22673 25082 37623 38868 45346 50164 68019 75246 87787 90692 136038 150492 175574 263361 272076 351148 514181 526722 990739 1028362 1053444 1542543 1981478 2056724 2972217 3085086 3599267 3962956 5944434 6170172 6935173 7198534 10797801 11888868 13870346 14397068 20805519 21595602 27740692 40620299 41611038 43191204 81240598 83222076 121860897 162481196 243721794 284342093 487443588 568684186 853026279 1137368372 1706052558 3412105116