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201010304 = 2711367389
BaseRepresentation
bin10111111101100…
…10110010000000
3112000020101022002
423332302302000
5402424312204
631540203132
74660362605
oct1376626200
9460211262
10201010304
11a3513020
12573994a8
133284c111
141c9a66ac
15129a891e
hexbfb2c80

201010304 has 64 divisors (see below), whose sum is σ = 439171200. Its totient is φ = 90885120.

The previous prime is 201010297. The next prime is 201010309. The reversal of 201010304 is 403010102.

It is a happy number.

201010304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (11).

It is not an unprimeable number, because it can be changed into a prime (201010309) 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, 516542 + ... + 516930.

It is an arithmetic number, because the mean of its divisors is an integer number (6862050).

Almost surely, 2201010304 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 201010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219585600).

201010304 is an abundant number, since it is smaller than the sum of its proper divisors (238160896).

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

201010304 is a wasteful number, since it uses less digits than its factorization.

201010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 201010304 is about 14177.8102681620. The cubic root of 201010304 is about 585.7866097824.

Adding to 201010304 its reverse (403010102), we get a palindrome (604020406).

The spelling of 201010304 in words is "two hundred one million, ten thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 367 389 704 734 778 1408 1468 1556 2936 3112 4037 4279 5872 6224 8074 8558 11744 12448 16148 17116 23488 24896 32296 34232 46976 49792 64592 68464 129184 136928 142763 258368 273856 285526 516736 547712 571052 1142104 1570393 2284208 3140786 4568416 6281572 9136832 12563144 18273664 25126288 50252576 100505152 201010304