Search a number
-
+
321304100 = 225213439563
BaseRepresentation
bin10011001001101…
…011011000100100
3211101120221100212
4103021223120210
51124223212400
651514354552
710651016435
oct2311533044
9741527325
10321304100
11155405587
128b72ba58
1351749990
143095b48c
151d31b335
hex1326b624

321304100 has 72 divisors (see below), whose sum is σ = 753910080. Its totient is φ = 118154880.

The previous prime is 321304033. The next prime is 321304103. The reversal of 321304100 is 1403123.

It is not an unprimeable number, because it can be changed into a prime (321304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 570419 + ... + 570981.

Almost surely, 2321304100 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 321304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376955040).

321304100 is an abundant number, since it is smaller than the sum of its proper divisors (432605980).

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

321304100 is a wasteful number, since it uses less digits than its factorization.

321304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 321304100 is about 17924.9574615953. The cubic root of 321304100 is about 684.9182774974.

Adding to 321304100 its reverse (1403123), we get a palindrome (322707223).

The spelling of 321304100 in words is "three hundred twenty-one million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 439 563 650 878 1126 1300 1756 2195 2252 2815 4390 5630 5707 7319 8780 10975 11260 11414 14075 14638 21950 22828 28150 28535 29276 36595 43900 56300 57070 73190 114140 142675 146380 182975 247157 285350 365950 494314 570700 731900 988628 1235785 2471570 3213041 4943140 6178925 6426082 12357850 12852164 16065205 24715700 32130410 64260820 80326025 160652050 321304100