Search a number
-
+
321433020 = 2232511315803
BaseRepresentation
bin10011001010001…
…010110110111100
3211101211111012200
4103022022312330
51124241324040
651521231500
710652064336
oct2312126674
9741744180
10321433020
11155493427
128b792590
135179356c
1430992456
151d344630
hex1328adbc

321433020 has 72 divisors (see below), whose sum is σ = 983704176. Its totient is φ = 84951552.

The previous prime is 321433019. The next prime is 321433037. The reversal of 321433020 is 20334123.

321433020 is a `hidden beast` number, since 321 + 43 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 321432984 and 321433002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12439 + ... + 28241.

It is an arithmetic number, because the mean of its divisors is an integer number (13662558).

Almost surely, 2321433020 is an apocalyptic number.

321433020 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 321433020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491852088).

321433020 is an abundant number, since it is smaller than the sum of its proper divisors (662271156).

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

321433020 is a wasteful number, since it uses less digits than its factorization.

321433020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931 (or 15926 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 321433020 is about 17928.5532043163. The cubic root of 321433020 is about 685.0098707442.

Adding to 321433020 its reverse (20334123), we get a palindrome (341767143).

The spelling of 321433020 in words is "three hundred twenty-one million, four hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 2034 2260 3390 4068 5085 6780 10170 15803 20340 31606 47409 63212 79015 94818 142227 158030 189636 237045 284454 316060 474090 568908 711135 948180 1422270 1785739 2844540 3571478 5357217 7142956 8928695 10714434 16071651 17857390 21428868 26786085 32143302 35714780 53572170 64286604 80358255 107144340 160716510 321433020