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201440340 = 2232510710459
BaseRepresentation
bin11000000000110…
…11110001010100
3112001001020012100
430000123301110
5403032042330
631553322100
74664133423
oct1400336124
9461036170
10201440340
11a3787122
1257566330
133296ca8a
141ca792ba
1512a41060
hexc01bc54

201440340 has 72 divisors (see below), whose sum is σ = 616805280. Its totient is φ = 53210304.

The previous prime is 201440303. The next prime is 201440353. The reversal of 201440340 is 43044102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14031 + ... + 24489.

It is an arithmetic number, because the mean of its divisors is an integer number (8566740).

Almost surely, 2201440340 is an apocalyptic number.

201440340 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 201440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308402640).

201440340 is an abundant number, since it is smaller than the sum of its proper divisors (415364940).

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

201440340 is a wasteful number, since it uses less digits than its factorization.

201440340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10581 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 201440340 is about 14192.9679771357. The cubic root of 201440340 is about 586.2040509053.

Adding to 201440340 its reverse (43044102), we get a palindrome (244484442).

The spelling of 201440340 in words is "two hundred one million, four hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 642 963 1070 1284 1605 1926 2140 3210 3852 4815 6420 9630 10459 19260 20918 31377 41836 52295 62754 94131 104590 125508 156885 188262 209180 313770 376524 470655 627540 941310 1119113 1882620 2238226 3357339 4476452 5595565 6714678 10072017 11191130 13429356 16786695 20144034 22382260 33573390 40288068 50360085 67146780 100720170 201440340