Search a number
-
+
3422323400 = 235219786861
BaseRepresentation
bin1100101111111100…
…1000001011001000
322211111201001010112
43023333020023020
524002103322100
61323332133452
7150544161146
oct31377101310
98744631115
103422323400
1114a68a3251
127b6167288
13427040942
1424673c596
151506b6b35
hexcbfc82c8

3422323400 has 48 divisors (see below), whose sum is σ = 7997384340. Its totient is φ = 1361964800.

The previous prime is 3422323393. The next prime is 3422323403. The reversal of 3422323400 is 43232243.

3422323400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2391014404 + 1031308996 = 48898^2 + 32114^2 .

It is not an unprimeable number, because it can be changed into a prime (3422323403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4031 + ... + 82830.

Almost surely, 23422323400 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 3422323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998692170).

3422323400 is an abundant number, since it is smaller than the sum of its proper divisors (4575060940).

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

3422323400 is a wasteful number, since it uses less digits than its factorization.

3422323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87074 (or 87065 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 3422323400 is about 58500.6273470636. The cubic root of 3422323400 is about 1506.9783587353.

Adding to 3422323400 its reverse (43232243), we get a palindrome (3465555643).

The spelling of 3422323400 in words is "three billion, four hundred twenty-two million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 394 788 985 1576 1970 3940 4925 7880 9850 19700 39400 86861 173722 347444 434305 694888 868610 1737220 2171525 3474440 4343050 8686100 17111617 17372200 34223234 68446468 85558085 136892936 171116170 342232340 427790425 684464680 855580850 1711161700 3422323400