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203384424 = 23329734003
BaseRepresentation
bin11000001111101…
…10011001101000
3112011200222222110
430013312121220
5404031300144
632103122320
75016511335
oct1407663150
9464628873
10203384424
11a4894801
12581433a0
13331a0919
141d02398c
1512cc70b9
hexc1f6668

203384424 has 64 divisors (see below), whose sum is σ = 533332800. Its totient is φ = 64544256.

The previous prime is 203384381. The next prime is 203384429. The reversal of 203384424 is 424483302.

203384424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 203384391 and 203384400.

It is not an unprimeable number, because it can be changed into a prime (203384429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48807 + ... + 52809.

It is an arithmetic number, because the mean of its divisors is an integer number (8333325).

Almost surely, 2203384424 is an apocalyptic number.

203384424 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 203384424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266666400).

203384424 is an abundant number, since it is smaller than the sum of its proper divisors (329948376).

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

203384424 is a wasteful number, since it uses less digits than its factorization.

203384424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 203384424 is about 14261.2911056468. The cubic root of 203384424 is about 588.0838188624.

The spelling of 203384424 in words is "two hundred three million, three hundred eighty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 219 232 292 348 438 584 696 876 1752 2117 4003 4234 6351 8006 8468 12009 12702 16012 16936 24018 25404 32024 48036 50808 96072 116087 232174 292219 348261 464348 584438 696522 876657 928696 1168876 1393044 1753314 2337752 2786088 3506628 7013256 8474351 16948702 25423053 33897404 50846106 67794808 101692212 203384424