Search a number
-
+
321340000 = 255416067
BaseRepresentation
bin10011001001110…
…100001001100000
3211101122202121111
4103021310021200
51124230340000
651515233104
710651226212
oct2311641140
9741582544
10321340000
1115542a553
128b748794
1351760117
143096a5b2
151d326cba
hex13274260

321340000 has 60 divisors (see below), whose sum is σ = 790593804. Its totient is φ = 128528000.

The previous prime is 321339971. The next prime is 321340003. The reversal of 321340000 is 43123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321340003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11967 + ... + 28033.

Almost surely, 2321340000 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 321340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395296902).

321340000 is an abundant number, since it is smaller than the sum of its proper divisors (469253804).

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

321340000 is an equidigital number, since it uses as much as digits as its factorization.

321340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16097 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 321340000 is about 17925.9588307014. The cubic root of 321340000 is about 684.9437856794.

Adding to 321340000 its reverse (43123), we get a palindrome (321383123).

The spelling of 321340000 in words is "three hundred twenty-one million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 16067 20000 32134 64268 80335 128536 160670 257072 321340 401675 514144 642680 803350 1285360 1606700 2008375 2570720 3213400 4016750 6426800 8033500 10041875 12853600 16067000 20083750 32134000 40167500 64268000 80335000 160670000 321340000