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201341952 = 2103273121
BaseRepresentation
bin11000000000000…
…11110000000000
3112000212020020100
430000003300000
5403020420302
631551242400
74663243530
oct1400036000
9460766210
10201341952
11a371a209
1257519400
1332937066
141ca514c0
1512a21d1c
hexc003c00

201341952 has 132 divisors (see below), whose sum is σ = 664636336. Its totient is φ = 57507840.

The previous prime is 201341929. The next prime is 201341989. The reversal of 201341952 is 259143102.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62952 + ... + 66072.

Almost surely, 2201341952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332318168).

201341952 is an abundant number, since it is smaller than the sum of its proper divisors (463294384).

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

201341952 is a wasteful number, since it uses less digits than its factorization.

201341952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 201341952 is about 14189.5014711582. The cubic root of 201341952 is about 586.1085969416.

The spelling of 201341952 in words is "two hundred one million, three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3121 3584 4032 4608 5376 6242 7168 8064 9216 9363 10752 12484 16128 18726 21504 21847 24968 28089 32256 37452 43694 49936 56178 64512 65541 74904 87388 99872 112356 131082 149808 174776 196623 199744 224712 262164 299616 349552 393246 399488 449424 524328 599232 699104 786492 798976 898848 1048656 1198464 1398208 1572984 1597952 1797696 2097312 2396928 2796416 3145968 3195904 3595392 4194624 4793856 5592832 6291936 7190784 8389248 9587712 11185664 12583872 14381568 16778496 22371328 25167744 28763136 33556992 50335488 67113984 100670976 201341952