Search a number
-
+
201350304 = 2532699133
BaseRepresentation
bin11000000000001…
…01110010100000
3112000212122200200
430000011302200
5403021202204
631551345200
74663310061
oct1400056240
9460778620
10201350304
11a3725511
1257522200
133293aabc
141ca54568
1512a24539
hexc005ca0

201350304 has 36 divisors (see below), whose sum is σ = 572590746. Its totient is φ = 67116672.

The previous prime is 201350299. The next prime is 201350309. The reversal of 201350304 is 403053102.

It is an interprime number because it is at equal distance from previous prime (201350299) and next prime (201350309).

It can be written as a sum of positive squares in only one way, i.e., 175827600 + 25522704 = 13260^2 + 5052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (201350309) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 349279 + ... + 349854.

Almost surely, 2201350304 is an apocalyptic number.

201350304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201350304 is an abundant number, since it is smaller than the sum of its proper divisors (371240442).

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

201350304 is a wasteful number, since it uses less digits than its factorization.

201350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699149 (or 699138 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 201350304 is about 14189.7957702005. The cubic root of 201350304 is about 586.1167010836.

The spelling of 201350304 in words is "two hundred one million, three hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 699133 1398266 2097399 2796532 4194798 5593064 6292197 8389596 11186128 12584394 16779192 22372256 25168788 33558384 50337576 67116768 100675152 201350304