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404347104 = 25327200569
BaseRepresentation
bin11000000110011…
…101100011100000
31001011211221221200
4120012131203200
51312003101404
6104042321200
713006615350
oct3006354340
91034757850
10404347104
11198274a67
12b34b9200
1365a04155
143b9b6b60
1525771839
hex1819d8e0

404347104 has 72 divisors (see below), whose sum is σ = 1314134640. Its totient is φ = 115527168.

The previous prime is 404347093. The next prime is 404347171. The reversal of 404347104 is 401743404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98269 + ... + 102300.

It is an arithmetic number, because the mean of its divisors is an integer number (18251870).

Almost surely, 2404347104 is an apocalyptic number.

It is an amenable number.

404347104 is an abundant number, since it is smaller than the sum of its proper divisors (909787536).

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

404347104 is a wasteful number, since it uses less digits than its factorization.

404347104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200592 (or 200581 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 404347104 is about 20108.3839231302. The cubic root of 404347104 is about 739.4658331571.

The spelling of 404347104 in words is "four hundred four million, three hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 200569 401138 601707 802276 1203414 1403983 1604552 1805121 2406828 2807966 3209104 3610242 4211949 4813656 5615932 6418208 7220484 8423898 9627312 11231864 12635847 14440968 16847796 19254624 22463728 25271694 28881936 33695592 44927456 50543388 57763872 67391184 101086776 134782368 202173552 404347104