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203480424 = 2335719787
BaseRepresentation
bin11000010000011…
…01110101101000
3112011212212200000
430020031311220
5404042333144
632105143000
75020361250
oct1410156550
9464785600
10203480424
11a494a944
125818aa60
1333205524
141d04a960
1512ce5769
hexc20dd68

203480424 has 192 divisors, whose sum is σ = 688396800. Its totient is φ = 55007424.

The previous prime is 203480423. The next prime is 203480447. The reversal of 203480424 is 424084302.

It is a happy number.

203480424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203480423) 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, 258159 + ... + 258945.

It is an arithmetic number, because the mean of its divisors is an integer number (3585400).

Almost surely, 2203480424 is an apocalyptic number.

203480424 is a gapful number since it is divisible by the number (24) 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 203480424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344198400).

203480424 is an abundant number, since it is smaller than the sum of its proper divisors (484916376).

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

203480424 is a wasteful number, since it uses less digits than its factorization.

203480424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 203480424 is about 14264.6564627403. The cubic root of 203480424 is about 588.1763319552.

The spelling of 203480424 in words is "two hundred three million, four hundred eighty thousand, four hundred twenty-four".