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2404000404 = 22331316710253
BaseRepresentation
bin1000111101001010…
…0010001010010100
320012112112212121000
42033102202022110
514410411003104
61034314023300
7113400444351
oct21722421224
96175485530
102404000404
111023aa50a3
12571117b30
132c4089760
1418b3c1628
15e10b6639
hex8f4a2294

2404000404 has 96 divisors (see below), whose sum is σ = 6752874240. Its totient is φ = 735191424.

The previous prime is 2404000397. The next prime is 2404000409. The reversal of 2404000404 is 4040004042.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404000409) 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 31 ways as a sum of consecutive naturals, for example, 229342 + ... + 239594.

It is an arithmetic number, because the mean of its divisors is an integer number (70342440).

Almost surely, 22404000404 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 2404000404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376437120).

2404000404 is an abundant number, since it is smaller than the sum of its proper divisors (4348873836).

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

2404000404 is a wasteful number, since it uses less digits than its factorization.

2404000404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 10438 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2404000404 is about 49030.6068084008. The cubic root of 2404000404 is about 1339.6093767472.

Adding to 2404000404 its reverse (4040004042), we get a palindrome (6444004446).

It can be divided in two parts, 2 and 404000404, that multiplied together give a palindrome (808000808).

The spelling of 2404000404 in words is "two billion, four hundred four million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 167 234 334 351 468 501 668 702 1002 1404 1503 2004 2171 3006 4342 4509 6012 6513 8684 9018 10253 13026 18036 19539 20506 26052 30759 39078 41012 58617 61518 78156 92277 117234 123036 133289 184554 234468 266578 276831 369108 399867 533156 553662 799734 1107324 1199601 1599468 1712251 2399202 3424502 3598803 4798404 5136753 6849004 7197606 10273506 14395212 15410259 20547012 22259263 30820518 44518526 46230777 61641036 66777789 89037052 92461554 133555578 184923108 200333367 267111156 400666734 601000101 801333468 1202000202 2404000404