Search a number
-
+
406339104 = 25331313523
BaseRepresentation
bin11000001110000…
…011111000100000
31001022121011110110
4120032003320200
51313010322404
6104153131320
713032553053
oct3016037040
91038534413
10406339104
11199405646
12b40b9b40
1366250a52
143bd74a9a
1525a16b89
hex18383e20

406339104 has 48 divisors (see below), whose sum is σ = 1070127072. Its totient is φ = 135003648.

The previous prime is 406339099. The next prime is 406339133. The reversal of 406339104 is 401933604.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4063391042 = 330222934879045632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23287 + ... + 36809.

It is an arithmetic number, because the mean of its divisors is an integer number (22294314).

Almost surely, 2406339104 is an apocalyptic number.

It is an amenable number.

406339104 is an abundant number, since it is smaller than the sum of its proper divisors (663787968).

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

406339104 is a wasteful number, since it uses less digits than its factorization.

406339104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13849 (or 13841 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 406339104 is about 20157.8546477546. The cubic root of 406339104 is about 740.6781608871.

The spelling of 406339104 in words is "four hundred six million, three hundred thirty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 313 626 939 1252 1878 2504 3756 5008 7512 10016 13523 15024 27046 30048 40569 54092 81138 108184 162276 216368 324552 432736 649104 1298208 4232699 8465398 12698097 16930796 25396194 33861592 50792388 67723184 101584776 135446368 203169552 406339104