Search a number
-
+
677348331 = 311294161283
BaseRepresentation
bin101000010111111…
…000001111101011
31202012112212020020
4220113320033223
52341400121311
6151113531523
722533236322
oct5027701753
91665485206
10677348331
11318388910
1216aa13ba3
13aa43b03a
1465d5d0b9
153e6eac06
hex285f83eb

677348331 has 64 divisors (see below), whose sum is σ = 1064931840. Its totient is φ = 379008000.

The previous prime is 677348327. The next prime is 677348339. The reversal of 677348331 is 133843776.

It is not a de Polignac number, because 677348331 - 22 = 677348327 is a prime.

It is a super-2 number, since 2×6773483312 = 917601523016971122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677348339) 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 63 ways as a sum of consecutive naturals, for example, 2393316 + ... + 2393598.

It is an arithmetic number, because the mean of its divisors is an integer number (16639560).

Almost surely, 2677348331 is an apocalyptic number.

677348331 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

677348331 is a deficient number, since it is larger than the sum of its proper divisors (387583509).

677348331 is a wasteful number, since it uses less digits than its factorization.

677348331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428.

The product of its digits is 254016, while the sum is 42.

The square root of 677348331 is about 26025.9165256480. The cubic root of 677348331 is about 878.2214124137.

The spelling of 677348331 in words is "six hundred seventy-seven million, three hundred forty-eight thousand, three hundred thirty-one".

Divisors: 1 3 11 29 33 41 61 87 123 183 283 319 451 671 849 957 1189 1353 1769 2013 2501 3113 3567 5307 7503 8207 9339 11603 13079 17263 19459 24621 27511 34809 39237 51789 58377 72529 82533 90277 127633 189893 217587 270831 336487 382899 500627 569679 707783 797819 1009461 1501881 2123349 2393457 3701357 5506897 7785613 11104071 16520691 20525707 23356839 61577121 225782777 677348331