Search a number
-
+
378353327 = 11219199827
BaseRepresentation
bin10110100011010…
…011011010101111
3222100221100012012
4112203103122233
51233324301302
6101313231435
712242643632
oct2643233257
9870840165
10378353327
11184630500
12a686257b
1360502811
143836bc19
1523339a52
hex168d36af

378353327 has 24 divisors (see below), whose sum is σ = 440496000. Its totient is φ = 323825040.

The previous prime is 378353321. The next prime is 378353347. The reversal of 378353327 is 723353873.

It is not a de Polignac number, because 378353327 - 26 = 378353263 is a prime.

It is a super-3 number, since 3×3783533273 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378353321) 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 23 ways as a sum of consecutive naturals, for example, 457088 + ... + 457914.

It is an arithmetic number, because the mean of its divisors is an integer number (18354000).

Almost surely, 2378353327 is an apocalyptic number.

378353327 is a deficient number, since it is larger than the sum of its proper divisors (62142673).

378353327 is a wasteful number, since it uses less digits than its factorization.

378353327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its digits is 317520, while the sum is 41.

The square root of 378353327 is about 19451.3065627993. The cubic root of 378353327 is about 723.2678917249.

The spelling of 378353327 in words is "three hundred seventy-eight million, three hundred fifty-three thousand, three hundred twenty-seven".

Divisors: 1 11 19 121 199 209 827 2189 2299 3781 9097 15713 24079 41591 100067 164573 172843 457501 1810303 1901273 3126887 19913333 34395757 378353327