Search a number
-
+
423303400 = 2352131761157
BaseRepresentation
bin11001001110110…
…001100011101000
31002111112001002201
4121032301203220
51331331202100
6110000505544
713330006462
oct3116614350
91074461081
10423303400
111a7a42123
12b991b2b4
13699104b0
144030d132
152726836a
hex193b18e8

423303400 has 192 divisors, whose sum is σ = 1147895280. Its totient is φ = 143769600.

The previous prime is 423303389. The next prime is 423303443. The reversal of 423303400 is 4303324.

It can be written as a sum of positive squares in 24 ways, for example, as 134235396 + 289068004 = 11586^2 + 17002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2696122 + ... + 2696278.

Almost surely, 2423303400 is an apocalyptic number.

423303400 is a gapful number since it is divisible by the number (40) 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 423303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573947640).

423303400 is an abundant number, since it is smaller than the sum of its proper divisors (724591880).

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

423303400 is a wasteful number, since it uses less digits than its factorization.

423303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 423303400 is about 20574.3383854743. The cubic root of 423303400 is about 750.8455057278.

Adding to 423303400 its reverse (4303324), we get a palindrome (427606724).

The spelling of 423303400 in words is "four hundred twenty-three million, three hundred three thousand, four hundred".