Search a number
-
+
423273600 = 2734522371
BaseRepresentation
bin11001001110101…
…010010010000000
31002111110112020000
4121032222102000
51331324223400
6110000120000
713326523551
oct3116522200
91074415200
10423273600
111a7a217a2
12b9906000
13698cca69
1440302328
152725e600
hex193aa480

423273600 has 480 divisors, whose sum is σ = 1652840640. Its totient is φ = 106444800.

The previous prime is 423273593. The next prime is 423273607. The reversal of 423273600 is 6372324.

It is an interprime number because it is at equal distance from previous prime (423273593) and next prime (423273607).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (423273607) 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 59 ways as a sum of consecutive naturals, for example, 5961565 + ... + 5961635.

It is an arithmetic number, because the mean of its divisors is an integer number (3443418).

Almost surely, 2423273600 is an apocalyptic number.

423273600 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 423273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826420320).

423273600 is an abundant number, since it is smaller than the sum of its proper divisors (1229567040).

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

423273600 is a wasteful number, since it uses less digits than its factorization.

423273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 423273600 is about 20573.6141696105. The cubic root of 423273600 is about 750.8278858039.

The spelling of 423273600 in words is "four hundred twenty-three million, two hundred seventy-three thousand, six hundred".