Search a number
-
+
29413384 = 23711133673
BaseRepresentation
bin111000000110…
…1000000001000
32001100100120121
41300031000020
530012212014
62530233024
7505003210
oct160150010
961310517
1029413384
111566a790
129a25774
13612ac90
143c99240
1528b0124
hex1c0d008

29413384 has 64 divisors (see below), whose sum is σ = 74067840. Its totient is φ = 10575360.

The previous prime is 29413313. The next prime is 29413403. The reversal of 29413384 is 48331492.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6172 + ... + 9844.

It is an arithmetic number, because the mean of its divisors is an integer number (1157310).

Almost surely, 229413384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29413384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37033920).

29413384 is an abundant number, since it is smaller than the sum of its proper divisors (44654456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29413384 is a wasteful number, since it uses less digits than its factorization.

29413384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 3706 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 29413384 is about 5423.4107349527. The cubic root of 29413384 is about 308.6846242716.

The spelling of 29413384 in words is "twenty-nine million, four hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 3673 4004 7346 8008 14692 25711 29384 40403 47749 51422 80806 95498 102844 161612 190996 205688 282821 323224 334243 381992 525239 565642 668486 1050478 1131284 1336972 2100956 2262568 2673944 3676673 4201912 7353346 14706692 29413384