Search a number
-
+
3421532000 = 25533141673
BaseRepresentation
bin1100101111110000…
…0110111101100000
322211110012211112102
43023330012331200
524001403011000
61323303145532
7150534353645
oct31374067540
98743184472
103421532000
1114a64026a7
127b5a452a8
13426b24663
142465b3dcc
151505ac3d5
hexcbf06f60

3421532000 has 192 divisors, whose sum is σ = 8902752768. Its totient is φ = 1290240000.

The previous prime is 3421531999. The next prime is 3421532017. The reversal of 3421532000 is 2351243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5083664 + ... + 5084336.

It is an arithmetic number, because the mean of its divisors is an integer number (46368504).

Almost surely, 23421532000 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 3421532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4451376384).

3421532000 is an abundant number, since it is smaller than the sum of its proper divisors (5481220768).

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

3421532000 is a wasteful number, since it uses less digits than its factorization.

3421532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3421532000 is about 58493.8629259515. The cubic root of 3421532000 is about 1506.8621886685.

Adding to 3421532000 its reverse (2351243), we get a palindrome (3423883243).

The spelling of 3421532000 in words is "three billion, four hundred twenty-one million, five hundred thirty-two thousand".