Search a number
-
+
321003420 = 223547891279
BaseRepresentation
bin10011001000100…
…001111110011100
3211101000122220120
4103020201332130
51124134102140
651504114540
710645325013
oct2310417634
9741018816
10321003420
1115521a691
128b605a50
1351672b6a
14308bda7a
151d2ac1d0
hex13221f9c

321003420 has 96 divisors (see below), whose sum is σ = 928972800. Its totient is φ = 82773504.

The previous prime is 321003409. The next prime is 321003439. The reversal of 321003420 is 24300123.

321003420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 321003420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250341 + ... + 251619.

It is an arithmetic number, because the mean of its divisors is an integer number (9676800).

Almost surely, 2321003420 is an apocalyptic number.

321003420 is a gapful number since it is divisible by the number (30) 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 321003420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464486400).

321003420 is an abundant number, since it is smaller than the sum of its proper divisors (607969380).

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

321003420 is a wasteful number, since it uses less digits than its factorization.

321003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 321003420 is about 17916.5683098075. The cubic root of 321003420 is about 684.7045594010.

Adding to 321003420 its reverse (24300123), we get a palindrome (345303543).

The spelling of 321003420 in words is "three hundred twenty-one million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 89 94 141 178 188 235 267 282 356 445 470 534 564 705 890 940 1068 1279 1335 1410 1780 2558 2670 2820 3837 4183 5116 5340 6395 7674 8366 12549 12790 15348 16732 19185 20915 25098 25580 38370 41830 50196 60113 62745 76740 83660 113831 120226 125490 180339 227662 240452 250980 300565 341493 360678 455324 569155 601130 682986 721356 901695 1138310 1202260 1365972 1707465 1803390 2276620 3414930 3606780 5350057 6829860 10700114 16050171 21400228 26750285 32100342 53500570 64200684 80250855 107001140 160501710 321003420