Search a number
-
+
3445116147 = 3211175213929
BaseRepresentation
bin1100110101011000…
…0100110011110011
322220002121000220100
43031112010303303
524023422204042
61325504443443
7151242001254
oct31526046363
98802530810
103445116147
111508750830
12801919583
1342b991285
14249792b2b
151526ba24c
hexcd584cf3

3445116147 has 48 divisors (see below), whose sum is σ = 5760499680. Its totient is φ = 1960857600.

The previous prime is 3445116133. The next prime is 3445116187. The reversal of 3445116147 is 7416115443.

3445116147 is a `hidden beast` number, since 3 + 4 + 451 + 161 + 47 = 666.

It is not a de Polignac number, because 3445116147 - 24 = 3445116131 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3445116107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874879 + ... + 878807.

It is an arithmetic number, because the mean of its divisors is an integer number (120010410).

Almost surely, 23445116147 is an apocalyptic number.

3445116147 is a deficient number, since it is larger than the sum of its proper divisors (2315383533).

3445116147 is a wasteful number, since it uses less digits than its factorization.

3445116147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4481 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 3445116147 is about 58695.1117811356. Note that the first 3 decimals coincide. The cubic root of 3445116147 is about 1510.3164617484.

The spelling of 3445116147 in words is "three billion, four hundred forty-five million, one hundred sixteen thousand, one hundred forty-seven".

Divisors: 1 3 9 11 17 33 51 99 153 187 521 561 1563 1683 3929 4689 5731 8857 11787 17193 26571 35361 43219 51579 66793 79713 97427 129657 200379 292281 388971 601137 734723 876843 2047009 2204169 6141027 6612507 18423081 22517099 34799153 67551297 104397459 202653891 313192377 382790683 1148372049 3445116147