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201024340 = 2251183101109
BaseRepresentation
bin10111111101101…
…10001101010100
3112000021002112221
423332312031110
5402430234330
631540352124
74660451536
oct1376661524
9460232487
10201024340
11a3522620
12573a5644
133285561a
141c9ab856
15129acb7a
hexbfb6354

201024340 has 96 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 70848000.

The previous prime is 201024331. The next prime is 201024377. The reversal of 201024340 is 43420102.

201024340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844206 + ... + 1844314.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2201024340 is an apocalyptic number.

201024340 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 201024340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

201024340 is an abundant number, since it is smaller than the sum of its proper divisors (273985580).

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

201024340 is a wasteful number, since it uses less digits than its factorization.

201024340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 201024340 is about 14178.3052583868. The cubic root of 201024340 is about 585.8002440909.

Adding to 201024340 its reverse (43420102), we get a palindrome (244444442).

It can be divided in two parts, 20102 and 4340, that added together give a palindrome (24442).

The spelling of 201024340 in words is "two hundred one million, twenty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 101 109 110 166 202 218 220 332 404 415 436 505 545 830 913 1010 1090 1111 1199 1660 1826 2020 2180 2222 2398 3652 4444 4565 4796 5555 5995 8383 9047 9130 11009 11110 11990 16766 18094 18260 22018 22220 23980 33532 36188 41915 44036 45235 55045 83830 90470 92213 99517 110090 121099 167660 180940 184426 199034 220180 242198 368852 398068 461065 484396 497585 605495 913747 922130 995170 1210990 1827494 1844260 1990340 2421980 3654988 4568735 9137470 10051217 18274940 20102434 40204868 50256085 100512170 201024340