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2404423104 = 26367311601
BaseRepresentation
bin1000111101010000…
…1001010111000000
320012120100100102120
42033110021113000
514411013014404
61034331044240
7113404154616
oct21724112700
96176310376
102404423104
111024263736
125712a0680
132c41a6c85
1418b4916b6
15e114b9d9
hex8f5095c0

2404423104 has 112 divisors (see below), whose sum is σ = 6488192256. Its totient is φ = 785664000.

The previous prime is 2404423103. The next prime is 2404423111. The reversal of 2404423104 is 4013244042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2404423103) 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 15 ways as a sum of consecutive naturals, for example, 4000404 + ... + 4001004.

It is an arithmetic number, because the mean of its divisors is an integer number (57930288).

Almost surely, 22404423104 is an apocalyptic number.

2404423104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244096128).

2404423104 is an abundant number, since it is smaller than the sum of its proper divisors (4083769152).

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

2404423104 is a wasteful number, since it uses less digits than its factorization.

2404423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2404423104 is about 49034.9171917319. The cubic root of 2404423104 is about 1339.6878875075.

Adding to 2404423104 its reverse (4013244042), we get a palindrome (6417667146).

The spelling of 2404423104 in words is "two billion, four hundred four million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 311 402 536 601 622 804 933 1072 1202 1244 1608 1803 1866 2144 2404 2488 3216 3606 3732 4288 4808 4976 6432 7212 7464 9616 9952 12864 14424 14928 19232 19904 20837 28848 29856 38464 40267 41674 57696 59712 62511 80534 83348 115392 120801 125022 161068 166696 186911 241602 250044 322136 333392 373822 483204 500088 560733 644272 666784 747644 966408 1000176 1121466 1288544 1333568 1495288 1932816 2000352 2242932 2577088 2990576 3865632 4000704 4485864 5981152 7731264 8971728 11962304 12523037 17943456 25046074 35886912 37569111 50092148 75138222 100184296 150276444 200368592 300552888 400737184 601105776 801474368 1202211552 2404423104