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3404000404 = 227219248109
BaseRepresentation
bin1100101011100100…
…1110110010010100
322210020020010201001
43022321032302110
523432411003104
61321435313044
7150232345300
oct31271166224
98706203631
103404000404
111497518982
127abbab784
134232c692c
1424412cd00
1514dc97aa4
hexcae4ec94

3404000404 has 54 divisors (see below), whose sum is σ = 7313634090. Its totient is φ = 1382046624.

The previous prime is 3404000401. The next prime is 3404000417. The reversal of 3404000404 is 4040004043.

3404000404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2973520900 + 430479504 = 54530^2 + 20748^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3404000401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46702 + ... + 94810.

Almost surely, 23404000404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656817045).

3404000404 is an abundant number, since it is smaller than the sum of its proper divisors (3909633686).

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

3404000404 is a wasteful number, since it uses less digits than its factorization.

3404000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48165 (or 48137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 3404000404 is about 58343.8120454946. The cubic root of 3404000404 is about 1504.2841087741.

Adding to 3404000404 its reverse (4040004043), we get a palindrome (7444004447).

The spelling of 3404000404 in words is "three billion, four hundred four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 361 532 722 931 1444 1862 2527 3724 5054 10108 17689 35378 48109 70756 96218 192436 336763 673526 914071 1347052 1828142 2357341 3656284 4714682 6398497 9429364 12796994 17367349 25593988 34734698 44789479 69469396 89578958 121571443 179157916 243142886 486285772 851000101 1702000202 3404000404