Search a number
-
+
3406700016 = 2432232633911
BaseRepresentation
bin1100101100001110…
…0001110111110000
322210102022021212200
43023003201313300
523434103400031
61322013223200
7150264321006
oct31303416760
98712267780
103406700016
111498aa2165
127b0a91b00
13423a30635
14244632a76
1514e12c8e6
hexcb0e1df0

3406700016 has 120 divisors (see below), whose sum is σ = 9988932096. Its totient is φ = 1081787520.

The previous prime is 3406699997. The next prime is 3406700029. The reversal of 3406700016 is 6100076043.

3406700016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869101 + ... + 873011.

Almost surely, 23406700016 is an apocalyptic number.

3406700016 is a gapful number since it is divisible by the number (36) 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 3406700016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4994466048).

3406700016 is an abundant number, since it is smaller than the sum of its proper divisors (6582232080).

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

3406700016 is a wasteful number, since it uses less digits than its factorization.

3406700016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3406700016 is about 58366.9428358210. The cubic root of 3406700016 is about 1504.6816714331.

Adding to 3406700016 its reverse (6100076043), we get a palindrome (9506776059).

The spelling of 3406700016 in words is "three billion, four hundred six million, seven hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 263 276 368 414 526 552 789 828 1052 1104 1578 1656 2104 2367 3156 3312 3911 4208 4734 6049 6312 7822 9468 11733 12098 12624 15644 18147 18936 23466 24196 31288 35199 36294 37872 46932 48392 54441 62576 70398 72588 89953 93864 96784 108882 140796 145176 179906 187728 217764 269859 281592 290352 359812 435528 539718 563184 719624 809577 871056 1028593 1079436 1439248 1619154 2057186 2158872 3085779 3238308 4114372 4317744 6171558 6476616 8228744 9257337 12343116 12953232 16457488 18514674 23657639 24686232 37029348 47315278 49372464 70972917 74058696 94630556 141945834 148117392 189261112 212918751 283891668 378522224 425837502 567783336 851675004 1135566672 1703350008 3406700016