Search a number
-
+
29400327 = 351117647
BaseRepresentation
bin111000000100…
…1110100000111
32001022200200000
41300021310013
530011302302
62530052343
7504620145
oct160116407
961280600
1029400327
11156609a0
129a1a0b3
136125058
143c94595
1528ab31c
hex1c09d07

29400327 has 48 divisors (see below), whose sum is σ = 50948352. Its totient is φ = 16744320.

The previous prime is 29400317. The next prime is 29400331. The reversal of 29400327 is 72300492.

It is not a de Polignac number, because 29400327 - 216 = 29334791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 29400327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29400317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45118 + ... + 45764.

It is an arithmetic number, because the mean of its divisors is an integer number (1061424).

Almost surely, 229400327 is an apocalyptic number.

29400327 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

29400327 is a deficient number, since it is larger than the sum of its proper divisors (21548025).

29400327 is a wasteful number, since it uses less digits than its factorization.

29400327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 29400327 is about 5422.2068385483. The cubic root of 29400327 is about 308.6389410810.

The spelling of 29400327 in words is "twenty-nine million, four hundred thousand, three hundred twenty-seven".

Divisors: 1 3 9 11 17 27 33 51 81 99 153 187 243 297 459 561 647 891 1377 1683 1941 2673 4131 5049 5823 7117 10999 15147 17469 21351 32997 45441 52407 64053 98991 120989 157221 192159 296973 362967 576477 890919 1088901 1729431 2672757 3266703 9800109 29400327