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408378345 = 35315931481
BaseRepresentation
bin11000010101110…
…101101111101001
31001110102202202220
4120111311233221
51314021101340
6104304544253
713056105264
oct3025655751
91043382686
10408378345
1119a578771
12b4922089
13667b5cbb
143c345cdb
1525cbaed0
hex18575be9

408378345 has 32 divisors (see below), whose sum is σ = 676076544. Its totient is φ = 210278400.

The previous prime is 408378337. The next prime is 408378379. The reversal of 408378345 is 543873804.

It is not a de Polignac number, because 408378345 - 23 = 408378337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 408378297 and 408378306.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 275005 + ... + 276485.

It is an arithmetic number, because the mean of its divisors is an integer number (21127392).

Almost surely, 2408378345 is an apocalyptic number.

It is an amenable number.

408378345 is a deficient number, since it is larger than the sum of its proper divisors (267698199).

408378345 is a wasteful number, since it uses less digits than its factorization.

408378345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113.

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 408378345 is about 20208.3731408543. The cubic root of 408378345 is about 741.9151421521.

It can be divided in two parts, 4083 and 78345, that added together give a palindrome (82428).

The spelling of 408378345 in words is "four hundred eight million, three hundred seventy-eight thousand, three hundred forty-five".

Divisors: 1 3 5 15 31 93 155 465 593 1481 1779 2965 4443 7405 8895 18383 22215 45911 55149 91915 137733 229555 275745 688665 878233 2634699 4391165 13173495 27225223 81675669 136126115 408378345