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406813134 = 237132632833
BaseRepresentation
bin11000001111110…
…111100111001110
31001100111020201010
4120033313213032
51313121010014
6104211230050
713036566060
oct3017674716
91040436633
10406813134
111996a9802
12b42a8326
1366388740
143c059730
1525aac359
hex183f79ce

406813134 has 64 divisors (see below), whose sum is σ = 1005548544. Its totient is φ = 106845696.

The previous prime is 406813091. The next prime is 406813139. The reversal of 406813134 is 431318604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406813139) 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, 142182 + ... + 145014.

It is an arithmetic number, because the mean of its divisors is an integer number (15711696).

Almost surely, 2406813134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406813134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502774272).

406813134 is an abundant number, since it is smaller than the sum of its proper divisors (598735410).

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

406813134 is a wasteful number, since it uses less digits than its factorization.

406813134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3121.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 406813134 is about 20169.6091682511. The cubic root of 406813134 is about 740.9660708474.

The spelling of 406813134 in words is "four hundred six million, eight hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 263 273 526 546 789 1578 1841 2833 3419 3682 5523 5666 6838 8499 10257 11046 16998 19831 20514 23933 36829 39662 47866 59493 71799 73658 110487 118986 143598 220974 257803 515606 745079 773409 1490158 1546818 2235237 4470474 5215553 9686027 10431106 15646659 19372054 29058081 31293318 58116162 67802189 135604378 203406567 406813134