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203429000 = 2353203429
BaseRepresentation
bin11000010000000…
…01010010001000
3112011210021010102
430020001102020
5404034212000
632104104532
75020055315
oct1410012210
9464707112
10203429000
11a4915245
1258165148
13331b7cb8
141d035d0c
1512cd53d5
hexc201488

203429000 has 32 divisors (see below), whose sum is σ = 476026200. Its totient is φ = 81371200.

The previous prime is 203428993. The next prime is 203429047. The reversal of 203429000 is 924302.

It can be written as a sum of positive squares in 4 ways, for example, as 10719076 + 192709924 = 3274^2 + 13882^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100715 + ... + 102714.

Almost surely, 2203429000 is an apocalyptic number.

203429000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203429000 is an abundant number, since it is smaller than the sum of its proper divisors (272597200).

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

203429000 is a wasteful number, since it uses less digits than its factorization.

203429000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203450 (or 203436 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 203429000 is about 14262.8538518769. The cubic root of 203429000 is about 588.1267793947.

The spelling of 203429000 in words is "two hundred three million, four hundred twenty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 203429 406858 813716 1017145 1627432 2034290 4068580 5085725 8137160 10171450 20342900 25428625 40685800 50857250 101714500 203429000