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203145340 = 225196779101
BaseRepresentation
bin11000001101111…
…00000001111100
3112011020212000111
430012330001330
5404001122330
632054035404
75014464316
oct1406740174
9464225014
10203145340
11a4741112
1258048b64
1333118b58
141cda07b6
1512c7b32a
hexc1bc07c

203145340 has 96 divisors (see below), whose sum is σ = 466099200. Its totient is φ = 74131200.

The previous prime is 203145323. The next prime is 203145347. The reversal of 203145340 is 43541302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203145347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011290 + ... + 2011390.

It is an arithmetic number, because the mean of its divisors is an integer number (4855200).

Almost surely, 2203145340 is an apocalyptic number.

203145340 is a gapful number since it is divisible by the number (20) 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 203145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233049600).

203145340 is an abundant number, since it is smaller than the sum of its proper divisors (262953860).

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

203145340 is a wasteful number, since it uses less digits than its factorization.

203145340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 203145340 is about 14252.9063702811. The cubic root of 203145340 is about 587.8532922589.

Adding to 203145340 its reverse (43541302), we get a palindrome (246686642).

The spelling of 203145340 in words is "two hundred three million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 67 76 79 95 101 134 158 190 202 268 316 335 380 395 404 505 670 790 1010 1273 1340 1501 1580 1919 2020 2546 3002 3838 5092 5293 6004 6365 6767 7505 7676 7979 9595 10586 12730 13534 15010 15958 19190 21172 25460 26465 27068 30020 31916 33835 38380 39895 52930 67670 79790 100567 105860 128573 135340 151601 159580 201134 257146 303202 402268 502835 514292 534593 606404 642865 758005 1005670 1069186 1285730 1516010 2011340 2138372 2571460 2672965 3032020 5345930 10157267 10691860 20314534 40629068 50786335 101572670 203145340