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404230080 = 26351723147
BaseRepresentation
bin11000000110000…
…000111111000000
31001011122000102110
4120012000333000
51311440330310
6104040015320
713005620232
oct3006007700
91034560373
10404230080
111981a5051
12b3461540
1365992ac7
143b986252
152574bd20
hex18180fc0

404230080 has 336 divisors, whose sum is σ = 1437290496. Its totient is φ = 96092160.

The previous prime is 404230067. The next prime is 404230081. The reversal of 404230080 is 80032404.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404230081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8600617 + ... + 8600663.

Almost surely, 2404230080 is an apocalyptic number.

404230080 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 404230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718645248).

404230080 is an abundant number, since it is smaller than the sum of its proper divisors (1033060416).

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

404230080 is a wasteful number, since it uses less digits than its factorization.

404230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 404230080 is about 20105.4738815080. The cubic root of 404230080 is about 739.3944888440.

Adding to 404230080 its reverse (80032404), we get a palindrome (484262484).

The spelling of 404230080 in words is "four hundred four million, two hundred thirty thousand, eighty".