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203442414 = 23724714723
BaseRepresentation
bin11000010000001…
…00100011101110
3112011210221112020
430020010203232
5404040124124
632104251010
75020142400
oct1410044356
9464727466
10203442414
11a492432a
1258170a66
13331c1136
141d03ab70
1512cd9379
hexc2048ee

203442414 has 48 divisors (see below), whose sum is σ = 483418368. Its totient is φ = 56885808.

The previous prime is 203442401. The next prime is 203442431. The reversal of 203442414 is 414244302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6457 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (10071216).

Almost surely, 2203442414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203442414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241709184).

203442414 is an abundant number, since it is smaller than the sum of its proper divisors (279975954).

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

203442414 is a wasteful number, since it uses less digits than its factorization.

203442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14789 (or 14782 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 203442414 is about 14263.3240866216. The cubic root of 203442414 is about 588.1397060329.

Adding to 203442414 its reverse (414244302), we get a palindrome (617686716).

The spelling of 203442414 in words is "two hundred three million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1974 2303 4606 6909 13818 14723 29446 44169 88338 103061 206122 309183 618366 691981 721427 1383962 1442854 2075943 2164281 4151886 4328562 4843867 9687734 14531601 29063202 33907069 67814138 101721207 203442414