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423134400 = 26352136781
BaseRepresentation
bin11001001110001…
…000010011000000
31002111012110021110
4121032020103000
51331310300100
6105553123320
713325403663
oct3116102300
91074173243
10423134400
111a7937157
12b9859540
13698815b0
14402a76da
1527233250
hex193884c0

423134400 has 168 divisors, whose sum is σ = 1495241104. Its totient is φ = 104140800.

The previous prime is 423134377. The next prime is 423134401. The reversal of 423134400 is 4431324.

It is not an unprimeable number, because it can be changed into a prime (423134401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59010 + ... + 65790.

Almost surely, 2423134400 is an apocalyptic number.

423134400 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 423134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747620552).

423134400 is an abundant number, since it is smaller than the sum of its proper divisors (1072106704).

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

423134400 is a wasteful number, since it uses less digits than its factorization.

423134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 423134400 is about 20570.2309175177. The cubic root of 423134400 is about 750.7455696999.

Adding to 423134400 its reverse (4431324), we get a palindrome (427565724).

The spelling of 423134400 in words is "four hundred twenty-three million, one hundred thirty-four thousand, four hundred".