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203431400 = 23521017157
BaseRepresentation
bin11000010000000…
…01110111101000
3112011210101102022
430020001313220
5404034301100
632104124012
75020065314
oct1410016750
9464711368
10203431400
11a4917027
1258166608
13331b9113
141d036b44
1512cd5e85
hexc201de8

203431400 has 24 divisors (see below), whose sum is σ = 472978470. Its totient is φ = 81372480.

The previous prime is 203431379. The next prime is 203431411. The reversal of 203431400 is 4134302.

It can be written as a sum of positive squares in 3 ways, for example, as 164916964 + 38514436 = 12842^2 + 6206^2 .

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 5 ways as a sum of consecutive naturals, for example, 508379 + ... + 508778.

Almost surely, 2203431400 is an apocalyptic number.

203431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203431400 is an abundant number, since it is smaller than the sum of its proper divisors (269547070).

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

203431400 is a wasteful number, since it uses less digits than its factorization.

203431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017173 (or 1017164 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 203431400 is about 14262.9379862636. The cubic root of 203431400 is about 588.1290922389.

Adding to 203431400 its reverse (4134302), we get a palindrome (207565702).

The spelling of 203431400 in words is "two hundred three million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1017157 2034314 4068628 5085785 8137256 10171570 20343140 25428925 40686280 50857850 101715700 203431400