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104401224 = 2334367439
BaseRepresentation
bin1100011100100…
…00100101001000
321021110010120000
412032100211020
5203211314344
614205403000
72405252514
oct616204510
9237403500
10104401224
1153a28204
122ab69460
1318824b95
14dc19144
159273a69
hex6390948

104401224 has 80 divisors (see below), whose sum is σ = 293884800. Its totient is φ = 34626528.

The previous prime is 104401223. The next prime is 104401237. The reversal of 104401224 is 422104401.

104401224 is a `hidden beast` number, since 1 + 0 + 440 + 1 + 224 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 104401197 and 104401206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104401223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 237597 + ... + 238035.

It is an arithmetic number, because the mean of its divisors is an integer number (3673560).

Almost surely, 2104401224 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 104401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146942400).

104401224 is an abundant number, since it is smaller than the sum of its proper divisors (189483576).

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

104401224 is a wasteful number, since it uses less digits than its factorization.

104401224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104401224 is about 10217.6917158427. The cubic root of 104401224 is about 470.8709127357.

Adding to 104401224 its reverse (422104401), we get a palindrome (526505625).

It can be divided in two parts, 10440 and 1224, that added together give a square (11664 = 1082).

The spelling of 104401224 in words is "one hundred four million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 367 439 648 734 878 1101 1317 1468 1756 2202 2634 2936 3303 3512 3951 4404 5268 6606 7902 8808 9909 10536 11853 13212 15804 19818 23706 26424 29727 31608 35559 39636 47412 59454 71118 79272 94824 118908 142236 161113 237816 284472 322226 483339 644452 966678 1288904 1450017 1933356 2900034 3866712 4350051 5800068 8700102 11600136 13050153 17400204 26100306 34800408 52200612 104401224