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423231104 = 27291131009
BaseRepresentation
bin11001001110011…
…111111010000000
31002111101100221002
4121032133322000
51331321343404
6105555151132
713326255632
oct3116377200
91074340832
10423231104
111a79a287a
12b98a54a8
13698b660a
14402d0a52
1527251c1e
hex1939fe80

423231104 has 64 divisors (see below), whose sum is σ = 880821000. Its totient is φ = 202309632.

The previous prime is 423231103. The next prime is 423231143. The reversal of 423231104 is 401132324.

It can be written as a sum of positive squares in 4 ways, for example, as 203005504 + 220225600 = 14248^2 + 14840^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (423231101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418952 + ... + 419960.

Almost surely, 2423231104 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 423231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440410500).

423231104 is an abundant number, since it is smaller than the sum of its proper divisors (457589896).

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

423231104 is a wasteful number, since it uses less digits than its factorization.

423231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 423231104 is about 20572.5813645250. The cubic root of 423231104 is about 750.8027576522.

Adding to 423231104 its reverse (401132324), we get a palindrome (824363428).

The spelling of 423231104 in words is "four hundred twenty-three million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 113 116 128 226 232 452 464 904 928 1009 1808 1856 2018 3277 3616 3712 4036 6554 7232 8072 13108 14464 16144 26216 29261 32288 52432 58522 64576 104864 114017 117044 129152 209728 228034 234088 419456 456068 468176 912136 936352 1824272 1872704 3306493 3648544 3745408 6612986 7297088 13225972 14594176 26451944 52903888 105807776 211615552 423231104