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163430400 = 214352719
BaseRepresentation
bin10011011110111…
…00000000000000
3102101112010100210
421233130000000
5313314233100
624114514120
74023064320
oct1157340000
9371463323
10163430400
1184285751
1246895940
1327b21ca3
14179c3280
15e533c50
hex9bdc000

163430400 has 360 divisors, whose sum is σ = 650097280. Its totient is φ = 35389440.

The previous prime is 163430389. The next prime is 163430417. The reversal of 163430400 is 4034361.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8601591 + ... + 8601609.

Almost surely, 2163430400 is an apocalyptic number.

163430400 is a gapful number since it is divisible by the number (10) 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 163430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325048640).

163430400 is an abundant number, since it is smaller than the sum of its proper divisors (486666880).

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

163430400 is an equidigital number, since it uses as much as digits as its factorization.

163430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 163430400 is about 12783.9899874804. The cubic root of 163430400 is about 546.7359288275.

Adding to 163430400 its reverse (4034361), we get a palindrome (167464761).

The spelling of 163430400 in words is "one hundred sixty-three million, four hundred thirty thousand, four hundred".