Search a number
-
+
29340468 = 2234137661
BaseRepresentation
bin110111111101…
…1001100110100
32001012122120000
41233323030310
530002343333
62524511300
7504250503
oct157731464
961178500
1029340468
111561aa23
1299ab530
136103a31
143c7a83a
152898713
hex1bfb334

29340468 has 60 divisors (see below), whose sum is σ = 77378532. Its totient is φ = 9694080.

The previous prime is 29340449. The next prime is 29340469. The reversal of 29340468 is 86404392.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20412324 + 8928144 = 4518^2 + 2988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29340469) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44058 + ... + 44718.

Almost surely, 229340468 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 29340468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689266).

29340468 is an abundant number, since it is smaller than the sum of its proper divisors (48038064).

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

29340468 is a wasteful number, since it uses less digits than its factorization.

29340468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 29340468 is about 5416.6842256126. The cubic root of 29340468 is about 308.4293360336.

The spelling of 29340468 in words is "twenty-nine million, three hundred forty thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 137 162 274 324 411 548 661 822 1233 1322 1644 1983 2466 2644 3699 3966 4932 5949 7398 7932 11097 11898 14796 17847 22194 23796 35694 44388 53541 71388 90557 107082 181114 214164 271671 362228 543342 815013 1086684 1630026 2445039 3260052 4890078 7335117 9780156 14670234 29340468