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289342404 = 223213618253
BaseRepresentation
bin10001001111110…
…000001111000100
3202011110010011100
4101033300033010
51043032424104
644413340100
710112240601
oct2117601704
9664403140
10289342404
1113936525a
1280a97630
1347c38b30
142a5db6a8
151a606139
hex113f03c4

289342404 has 36 divisors (see below), whose sum is σ = 787655596. Its totient is φ = 89028288.

The previous prime is 289342373. The next prime is 289342409. The reversal of 289342404 is 404243982.

It can be written as a sum of positive squares in 2 ways, for example, as 42224004 + 247118400 = 6498^2 + 15720^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (289342409) 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 11 ways as a sum of consecutive naturals, for example, 308659 + ... + 309594.

Almost surely, 2289342404 is an apocalyptic number.

It is an amenable number.

289342404 is an abundant number, since it is smaller than the sum of its proper divisors (498313192).

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

289342404 is a wasteful number, since it uses less digits than its factorization.

289342404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618276 (or 618271 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 289342404 is about 17010.0677247329. The cubic root of 289342404 is about 661.4099060940.

The spelling of 289342404 in words is "two hundred eighty-nine million, three hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 618253 1236506 1854759 2473012 3709518 5564277 7419036 8037289 11128554 16074578 22257108 24111867 32149156 48223734 72335601 96447468 144671202 289342404