Search a number
-
+
430132104 = 233237161461
BaseRepresentation
bin11001101000110…
…100101110001000
31002222100222022200
4121220310232020
51340103211404
6110403120200
713442030313
oct3150645610
91088328280
10430132104
11200886686
12100073060
136b16174c
14411a997a
1527b66839
hex19a34b88

430132104 has 48 divisors (see below), whose sum is σ = 1196433420. Its totient is φ = 139501440.

The previous prime is 430132103. The next prime is 430132111. The reversal of 430132104 is 401231034.

430132104 is a `hidden beast` number, since 430 + 132 + 104 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427248900 + 2883204 = 20670^2 + 1698^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (430132103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78067 + ... + 83394.

Almost surely, 2430132104 is an apocalyptic number.

It is an amenable number.

430132104 is an abundant number, since it is smaller than the sum of its proper divisors (766301316).

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

430132104 is a wasteful number, since it uses less digits than its factorization.

430132104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161510 (or 161503 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 430132104 is about 20739.6264190076. The cubic root of 430132104 is about 754.8615181008.

Adding to 430132104 its reverse (401231034), we get a palindrome (831363138).

The spelling of 430132104 in words is "four hundred thirty million, one hundred thirty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 161461 322922 484383 645844 968766 1291688 1453149 1937532 2906298 3875064 5812596 5974057 11625192 11948114 17922171 23896228 35844342 47792456 53766513 71688684 107533026 143377368 215066052 430132104