[go: up one dir, main page]

Search a number
-
+
3334340191 = 721319318887
BaseRepresentation
bin1100011010111101…
…1111111001011111
322121101011000212011
43012233133321133
523312042341231
61310510252051
7145425265300
oct30657377137
98541130764
103334340191
11146116a156
127907b7027
13411a46980
14238b987a7
15147ad79b1
hexc6bdfe5f

3334340191 has 48 divisors (see below), whose sum is σ = 4539279360. Its totient is φ = 2418413760.

The previous prime is 3334340183. The next prime is 3334340213. The reversal of 3334340191 is 1910434333.

It is not a de Polignac number, because 3334340191 - 23 = 3334340183 is a prime.

It is a super-2 number, since 2×33343401912 = 22235649018635832962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3334340131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370750 + ... + 379636.

It is an arithmetic number, because the mean of its divisors is an integer number (94568320).

Almost surely, 23334340191 is an apocalyptic number.

3334340191 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3334340191 is a deficient number, since it is larger than the sum of its proper divisors (1204939169).

3334340191 is a wasteful number, since it uses less digits than its factorization.

3334340191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 31.

The square root of 3334340191 is about 57743.7459037773. The cubic root of 3334340191 is about 1493.9519716022.

The spelling of 3334340191 in words is "three billion, three hundred thirty-four million, three hundred forty thousand, one hundred ninety-one".

Divisors: 1 7 13 19 31 49 91 133 217 247 403 589 637 931 1519 1729 2821 4123 7657 8887 12103 19747 28861 53599 62209 115531 168853 275497 375193 435463 808717 1181971 1928479 2195089 3581461 5234443 5661019 8273797 13499353 15365623 25070227 36641101 68047759 107559361 175491589 256487707 476334313 3334340191