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396449424 = 24337131101
BaseRepresentation
bin10111101000010…
…101011010010000
31000121222201101000
4113220111122100
51302442340144
6103201142000
712552523140
oct2750253220
91017881330
10396449424
11193870358
12b092a900
136419a477
143a91c920
1524c11769
hex17a15690

396449424 has 80 divisors (see below), whose sum is σ = 1300531840. Its totient is φ = 113270400.

The previous prime is 396449407. The next prime is 396449429. The reversal of 396449424 is 424944693.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 396449424.

It is not an unprimeable number, because it can be changed into a prime (396449429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62527 + ... + 68574.

It is an arithmetic number, because the mean of its divisors is an integer number (16256648).

Almost surely, 2396449424 is an apocalyptic number.

It is an amenable number.

396449424 is an abundant number, since it is smaller than the sum of its proper divisors (904082416).

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

396449424 is a wasteful number, since it uses less digits than its factorization.

396449424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131125 (or 131113 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 396449424 is about 19911.0377429204. The cubic root of 396449424 is about 734.6197449985.

The spelling of 396449424 in words is "three hundred ninety-six million, four hundred forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 131101 262202 393303 524404 786606 917707 1048808 1179909 1573212 1835414 2097616 2359818 2753121 3146424 3539727 3670828 4719636 5506242 6292848 7079454 7341656 8259363 9439272 11012484 14158908 14683312 16518726 18878544 22024968 24778089 28317816 33037452 44049936 49556178 56635632 66074904 99112356 132149808 198224712 396449424