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201541344 = 2534348823
BaseRepresentation
bin11000000001101…
…00011011100000
3112001020100202020
430000310123200
5403043310334
631555421440
74665034044
oct1400643340
9461210666
10201541344
11a3845aa4
12575b4880
13329a6a44
141caa4024
1512a60e49
hexc0346e0

201541344 has 48 divisors (see below), whose sum is σ = 541360512. Its totient is φ = 65616768.

The previous prime is 201541321. The next prime is 201541357. The reversal of 201541344 is 443145102.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20284 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (11278344).

Almost surely, 2201541344 is an apocalyptic number.

201541344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201541344 is an abundant number, since it is smaller than the sum of its proper divisors (339819168).

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

201541344 is a wasteful number, since it uses less digits than its factorization.

201541344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48879 (or 48871 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 201541344 is about 14196.5257721740. The cubic root of 201541344 is about 586.3020105307.

Adding to 201541344 its reverse (443145102), we get a palindrome (644686446).

The spelling of 201541344 in words is "two hundred one million, five hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 48823 97646 146469 195292 292938 390584 585876 781168 1171752 1562336 2099389 2343504 4198778 4687008 6298167 8397556 12596334 16795112 25192668 33590224 50385336 67180448 100770672 201541344