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201442304 = 2107157179
BaseRepresentation
bin11000000000111…
…00010000000000
3112001001022220002
430000130100000
5403032123204
631553335132
74664142230
oct1400342000
9461038802
10201442304
11a3788648
12575674a8
133297093b
141ca79cc0
1512a4191e
hexc01c400

201442304 has 88 divisors (see below), whose sum is σ = 465733440. Its totient is φ = 85303296.

The previous prime is 201442301. The next prime is 201442331. The reversal of 201442304 is 403244102.

It is not an unprimeable number, because it can be changed into a prime (201442301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1125287 + ... + 1125465.

Almost surely, 2201442304 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 201442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232866720).

201442304 is an abundant number, since it is smaller than the sum of its proper divisors (264291136).

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

201442304 is a wasteful number, since it uses less digits than its factorization.

201442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 201442304 is about 14193.0371661600. The cubic root of 201442304 is about 586.2059560203.

Adding to 201442304 its reverse (403244102), we get a palindrome (604686406).

The spelling of 201442304 in words is "two hundred one million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 179 224 256 314 358 448 512 628 716 896 1024 1099 1253 1256 1432 1792 2198 2506 2512 2864 3584 4396 5012 5024 5728 7168 8792 10024 10048 11456 17584 20048 20096 22912 28103 35168 40096 40192 45824 56206 70336 80192 80384 91648 112412 140672 160384 160768 183296 196721 224824 281344 320768 393442 449648 562688 641536 786884 899296 1125376 1283072 1573768 1798592 3147536 3597184 6295072 7194368 12590144 14388736 25180288 28777472 50360576 100721152 201442304