Search a number
-
+
406011342 = 2311191991627
BaseRepresentation
bin11000001100110…
…011110111001110
31001021222111212010
4120030303313032
51312414330332
6104142122050
713030016352
oct3014636716
91037874763
10406011342
11199201370
12b3b80326
13661677c9
143bccb462
152599e9cc
hex18333dce

406011342 has 64 divisors (see below), whose sum is σ = 937728000. Its totient is φ = 115901280.

The previous prime is 406011317. The next prime is 406011343. The reversal of 406011342 is 243110604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406011343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248733 + ... + 250359.

It is an arithmetic number, because the mean of its divisors is an integer number (14652000).

Almost surely, 2406011342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406011342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468864000).

406011342 is an abundant number, since it is smaller than the sum of its proper divisors (531716658).

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

406011342 is a wasteful number, since it uses less digits than its factorization.

406011342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406011342 is about 20149.7231246486. The cubic root of 406011342 is about 740.4789582541.

Adding to 406011342 its reverse (243110604), we get a palindrome (649121946).

The spelling of 406011342 in words is "four hundred six million, eleven thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 199 209 398 418 597 627 1194 1254 1627 2189 3254 3781 4378 4881 6567 7562 9762 11343 13134 17897 22686 30913 35794 41591 53691 61826 83182 92739 107382 124773 185478 249546 323773 340043 647546 680086 971319 1020129 1942638 2040258 3561503 6151687 7123006 10684509 12303374 18455061 21369018 36910122 67668557 135337114 203005671 406011342