Search a number
-
+
672653331 = 327217234783
BaseRepresentation
bin101000000101111…
…110000000010011
31201212201022220100
4220011332000103
52334144401311
6150425143443
722445313300
oct5005760023
91655638810
10672653331
11315771449
1216932ab83
13a948602c
146549a0a7
153e0bea56
hex2817e013

672653331 has 144 divisors (see below), whose sum is σ = 1290691584. Its totient is φ = 334591488.

The previous prime is 672653323. The next prime is 672653353. The reversal of 672653331 is 133356276.

672653331 is a `hidden beast` number, since 67 + 265 + 3 + 331 = 666.

It is not a de Polignac number, because 672653331 - 23 = 672653323 is a prime.

It is a super-2 number, since 2×6726533312 = 904925007410791122, which contains 22 as substring.

Its product of digits (68040) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (672653431) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8104216 + ... + 8104298.

It is an arithmetic number, because the mean of its divisors is an integer number (8963136).

Almost surely, 2672653331 is an apocalyptic number.

672653331 is a deficient number, since it is larger than the sum of its proper divisors (618038253).

672653331 is a wasteful number, since it uses less digits than its factorization.

672653331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 672653331 is about 25935.5611275330. The cubic root of 672653331 is about 876.1875927452.

The spelling of 672653331 in words is "six hundred seventy-two million, six hundred fifty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 17 21 23 47 49 51 63 69 83 119 141 147 153 161 207 249 329 357 391 423 441 483 581 747 799 833 987 1071 1081 1127 1173 1411 1449 1743 1909 2303 2397 2499 2737 2961 3243 3381 3519 3901 4067 4233 5229 5593 5727 6909 7191 7497 7567 8211 9729 9877 10143 11703 12201 12699 13363 16779 17181 18377 19159 20727 22701 24633 27307 29631 32453 35109 36603 39151 40089 50337 52969 55131 57477 66317 68103 69139 81921 88893 89723 93541 97359 117453 120267 128639 158907 165393 172431 191149 198951 207417 227171 245763 269169 280623 292077 352359 385917 464219 476721 573447 596853 622251 628061 681513 807507 841869 900473 1157751 1392657 1525291 1590197 1720341 1884183 2044539 2701419 3249533 4177971 4396427 4575873 4770591 5652549 8104257 9748599 10677037 13189281 13727619 14311773 29245797 32031111 39567843 74739259 96093333 224217777 672653331