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404341002 = 2321314911597
BaseRepresentation
bin11000000110011…
…100000100001010
31001011211122120200
4120012130010022
51312002403002
6104042233030
713006561512
oct3006340412
91034748520
10404341002
1119827041a
12b34b5776
1365a01440
143b9b4842
152576eb1c
hex1819c10a

404341002 has 48 divisors (see below), whose sum is σ = 949876200. Its totient is φ = 123566976.

The previous prime is 404340991. The next prime is 404341009. The reversal of 404341002 is 200143404.

It can be written as a sum of positive squares in 4 ways, for example, as 278923401 + 125417601 = 16701^2 + 11199^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (404341009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29068 + ... + 40664.

Almost surely, 2404341002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404341002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474938100).

404341002 is an abundant number, since it is smaller than the sum of its proper divisors (545535198).

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

404341002 is a wasteful number, since it uses less digits than its factorization.

404341002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11767 (or 11764 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 404341002 is about 20108.2321948002. The cubic root of 404341002 is about 739.4621133801.

Adding to 404341002 its reverse (200143404), we get a palindrome (604484406).

The spelling of 404341002 in words is "four hundred four million, three hundred forty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 149 234 298 447 894 1341 1937 2682 3874 5811 11597 11622 17433 23194 34791 34866 69582 104373 150761 208746 301522 452283 904566 1356849 1727953 2713698 3455906 5183859 10367718 15551577 22463389 31103154 44926778 67390167 134780334 202170501 404341002