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103304000 = 265337349
BaseRepresentation
bin1100010100001…
…00101101000000
321012101101110002
412022010231000
5202421212000
614130055132
72363032562
oct612045500
9235341402
10103304000
1153348908
122a71a4a8
131852c637
14da11332
1591088d5
hex6284b40

103304000 has 112 divisors (see below), whose sum is σ = 263499600. Its totient is φ = 40089600.

The previous prime is 103303957. The next prime is 103304023. The reversal of 103304000 is 403301.

It can be written as a sum of positive squares in 8 ways, for example, as 6635776 + 96668224 = 2576^2 + 9832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295826 + ... + 296174.

It is an arithmetic number, because the mean of its divisors is an integer number (2352675).

Almost surely, 2103304000 is an apocalyptic number.

103304000 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 103304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131749800).

103304000 is an abundant number, since it is smaller than the sum of its proper divisors (160195600).

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

103304000 is an equidigital number, since it uses as much as digits as its factorization.

103304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 103304000 is about 10163.8575354046. The cubic root of 103304000 is about 469.2155315858.

Adding to 103304000 its reverse (403301), we get a palindrome (103707301).

The spelling of 103304000 in words is "one hundred three million, three hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 37 40 50 64 74 80 100 125 148 160 185 200 250 296 320 349 370 400 500 592 698 740 800 925 1000 1184 1396 1480 1600 1745 1850 2000 2368 2792 2960 3490 3700 4000 4625 5584 5920 6980 7400 8000 8725 9250 11168 11840 12913 13960 14800 17450 18500 22336 25826 27920 29600 34900 37000 43625 51652 55840 59200 64565 69800 74000 87250 103304 111680 129130 139600 148000 174500 206608 258260 279200 296000 322825 349000 413216 516520 558400 645650 698000 826432 1033040 1291300 1396000 1614125 2066080 2582600 2792000 3228250 4132160 5165200 6456500 10330400 12913000 20660800 25826000 51652000 103304000