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203530340 = 225133721157
BaseRepresentation
bin11000010000110…
…10000001100100
3112011222102010202
430020122001210
5404100432330
632110210032
75020656626
oct1410320144
9464872122
10203530340
11a49843a2
12581b3918
1333222170
141d060c16
1512d05445
hexc21a064

203530340 has 48 divisors (see below), whose sum is σ = 472754352. Its totient is φ = 73115136.

The previous prime is 203530321. The next prime is 203530361. The reversal of 203530340 is 43035302.

It can be written as a sum of positive squares in 8 ways, for example, as 23755876 + 179774464 = 4874^2 + 13408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 959 + ... + 20198.

It is an arithmetic number, because the mean of its divisors is an integer number (9849049).

Almost surely, 2203530340 is an apocalyptic number.

203530340 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 203530340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236377176).

203530340 is an abundant number, since it is smaller than the sum of its proper divisors (269224012).

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

203530340 is a wasteful number, since it uses less digits than its factorization.

203530340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21216 (or 21214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 203530340 is about 14266.4059945033. The cubic root of 203530340 is about 588.2244234109.

Adding to 203530340 its reverse (43035302), we get a palindrome (246565642).

The spelling of 203530340 in words is "two hundred three million, five hundred thirty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 4810 9620 21157 42314 84628 105785 211570 275041 423140 550082 782809 1100164 1375205 1565618 2750410 3131236 3914045 5500820 7828090 10176517 15656180 20353034 40706068 50882585 101765170 203530340