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103342400 = 265279227
BaseRepresentation
bin1100010100011…
…10000101000000
321012110100010022
412022032011000
5202423424100
614130553012
72363252540
oct612160500
9235410108
10103342400
1153374747
122a738768
1318543c65
14da21320
159114e85
hex628e140

103342400 has 84 divisors (see below), whose sum is σ = 290645088. Its totient is φ = 35427840.

The previous prime is 103342391. The next prime is 103342411. The reversal of 103342400 is 4243301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6587 + ... + 15813.

Almost surely, 2103342400 is an apocalyptic number.

103342400 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 103342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145322544).

103342400 is an abundant number, since it is smaller than the sum of its proper divisors (187302688).

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

103342400 is an equidigital number, since it uses as much as digits as its factorization.

103342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9241 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 103342400 is about 10165.7464064377. The cubic root of 103342400 is about 469.2736630694.

Adding to 103342400 its reverse (4243301), we get a palindrome (107585701).

Subtracting from 103342400 its reverse (4243301), we obtain a palindrome (99099099).

The spelling of 103342400 in words is "one hundred three million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 9227 11200 18454 36908 46135 64589 73816 92270 129178 147632 184540 230675 258356 295264 322945 369080 461350 516712 590528 645890 738160 922700 1033424 1291780 1476320 1614725 1845400 2066848 2583560 2952640 3229450 3690800 4133696 5167120 6458900 7381600 10334240 12917800 14763200 20668480 25835600 51671200 103342400