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201341440 = 29578649
BaseRepresentation
bin11000000000000…
…11101000000000
3112000212012112101
430000003220000
5403020411230
631551240144
74663242166
oct1400035000
9460765471
10201341440
11a3719893
1257519054
1332936a61
141ca51236
1512a21aca
hexc003a00

201341440 has 40 divisors (see below), whose sum is σ = 482753700. Its totient is φ = 80535552.

The previous prime is 201341381. The next prime is 201341443. The reversal of 201341440 is 44143102.

It can be written as a sum of positive squares in 2 ways, for example, as 193321216 + 8020224 = 13904^2 + 2832^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2013414402 = 81076750922547200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201341443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36765 + ... + 41884.

Almost surely, 2201341440 is an apocalyptic number.

201341440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201341440 is an abundant number, since it is smaller than the sum of its proper divisors (281412260).

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

201341440 is an frugal number, since it uses more digits than its factorization.

201341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78672 (or 78656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 201341440 is about 14189.4834296390. The cubic root of 201341440 is about 586.1081001287.

Adding to 201341440 its reverse (44143102), we get a palindrome (245484542).

The spelling of 201341440 in words is "two hundred one million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 78649 157298 314596 393245 629192 786490 1258384 1572980 2516768 3145960 5033536 6291920 10067072 12583840 20134144 25167680 40268288 50335360 100670720 201341440