Search a number
-
+
29311104 = 273372063
BaseRepresentation
bin110111111010…
…0000010000000
32001011011021110
41233310002000
530000423404
62524123320
7504066054
oct157640200
961134243
1029311104
11155aa959
129996540
1360c3564
143c6dc64
15288eb89
hex1bf4080

29311104 has 64 divisors (see below), whose sum is σ = 80000640. Its totient is φ = 9501696.

The previous prime is 29311097. The next prime is 29311147. The reversal of 29311104 is 40111392.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13177 + ... + 15239.

It is an arithmetic number, because the mean of its divisors is an integer number (1250010).

Almost surely, 229311104 is an apocalyptic number.

29311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000320).

29311104 is an abundant number, since it is smaller than the sum of its proper divisors (50689536).

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

29311104 is a wasteful number, since it uses less digits than its factorization.

29311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 29311104 is about 5413.9730328106. The cubic root of 29311104 is about 308.3264094541.

Adding to 29311104 its reverse (40111392), we get a palindrome (69422496).

The spelling of 29311104 in words is "twenty-nine million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2063 2368 3552 4126 4736 6189 7104 8252 12378 14208 16504 24756 33008 49512 66016 76331 99024 132032 152662 198048 228993 264064 305324 396096 457986 610648 792192 915972 1221296 1831944 2442592 3663888 4885184 7327776 9770368 14655552 29311104