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104333400 = 2333521392
BaseRepresentation
bin1100011100000…
…00000001011000
321021022200112000
412032000001120
5203202132100
614204121000
72404551003
oct616000130
9237280460
10104333400
1153991256
122ab36160
1318800052
14dbdc53a
15925d900
hex6380058

104333400 has 144 divisors (see below), whose sum is σ = 361974600. Its totient is φ = 27622080.

The previous prime is 104333393. The next prime is 104333401. The reversal of 104333400 is 4333401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (104333401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 750531 + ... + 750669.

Almost surely, 2104333400 is an apocalyptic number.

104333400 is a gapful number since it is divisible by the number (10) 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 104333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180987300).

104333400 is an abundant number, since it is smaller than the sum of its proper divisors (257641200).

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

104333400 is a wasteful number, since it uses less digits than its factorization.

104333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 104333400 is about 10214.3722274059. The cubic root of 104333400 is about 470.7689239344.

Adding to 104333400 its reverse (4333401), we get a palindrome (108666801).

Subtracting from 104333400 its reverse (4333401), we obtain a palindrome (99999999).

It can be divided in two parts, 1043 and 33400, that added together give a palindrome (34443).

The spelling of 104333400 in words is "one hundred four million, three hundred thirty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 139 150 180 200 216 225 270 278 300 360 417 450 540 556 600 675 695 834 900 1080 1112 1251 1350 1390 1668 1800 2085 2502 2700 2780 3336 3475 3753 4170 5004 5400 5560 6255 6950 7506 8340 10008 10425 12510 13900 15012 16680 18765 19321 20850 25020 27800 30024 31275 37530 38642 41700 50040 57963 62550 75060 77284 83400 93825 96605 115926 125100 150120 154568 173889 187650 193210 231852 250200 289815 347778 375300 386420 463704 483025 521667 579630 695556 750600 772840 869445 966050 1043334 1159260 1391112 1449075 1738890 1932100 2086668 2318520 2608335 2898150 3477780 3864200 4173336 4347225 5216670 5796300 6955560 8694450 10433340 11592600 13041675 17388900 20866680 26083350 34777800 52166700 104333400