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10304100 = 2232521072
BaseRepresentation
bin100111010011…
…101001100100
3201101111120100
4213103221210
510114212400
61004504100
7153404052
oct47235144
921344510
1010304100
1158a8694
12354b030
13219a101
1415231d2
15d88100
hex9d3a64

10304100 has 81 divisors (see below), whose sum is σ = 32602297. Its totient is φ = 2722080.

The previous prime is 10304083. The next prime is 10304111. The reversal of 10304100 is 140301.

The square root of 10304100 is 3210.

It is a perfect power (a square), and thus also a powerful number.

10304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3709476 + 6594624 = 1926^2 + 2568^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96247 + ... + 96353.

Almost surely, 210304100 is an apocalyptic number.

10304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10304100 is the 3210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304100

10304100 is an abundant number, since it is smaller than the sum of its proper divisors (22298197).

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

10304100 is a wasteful number, since it uses less digits than its factorization.

10304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 10304100 is about 217.6055769638.

Adding to 10304100 its reverse (140301), we get a palindrome (10444401).

It can be divided in two parts, 10304 and 100, that added together give a square (10404 = 1022).

The spelling of 10304100 in words is "ten million, three hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 107 150 180 214 225 300 321 428 450 535 642 900 963 1070 1284 1605 1926 2140 2675 3210 3852 4815 5350 6420 8025 9630 10700 11449 16050 19260 22898 24075 32100 34347 45796 48150 57245 68694 96300 103041 114490 137388 171735 206082 228980 286225 343470 412164 515205 572450 686940 858675 1030410 1144900 1717350 2060820 2576025 3434700 5152050 10304100