Search a number
-
+
405304068 = 2231323374371
BaseRepresentation
bin11000001010000…
…111001100000100
31001020122120122210
4120022013030010
51312224212233
6104115023420
713021012341
oct3012071404
91036576583
10405304068
11198868a44
12b389ab70
1365c7a8c0
143bb857c8
15258b0163
hex18287304

405304068 has 192 divisors, whose sum is σ = 1132572672. Its totient is φ = 111767040.

The previous prime is 405304063. The next prime is 405304127. The reversal of 405304068 is 860403504.

It is not an unprimeable number, because it can be changed into a prime (405304063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5708473 + ... + 5708543.

It is an arithmetic number, because the mean of its divisors is an integer number (5898816).

Almost surely, 2405304068 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 405304068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566286336).

405304068 is an abundant number, since it is smaller than the sum of its proper divisors (727268604).

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

405304068 is a wasteful number, since it uses less digits than its factorization.

405304068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 405304068 is about 20132.1650102516. The cubic root of 405304068 is about 740.0487355290.

The spelling of 405304068 in words is "four hundred five million, three hundred four thousand, sixty-eight".