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303311104 = 2810311503
BaseRepresentation
bin10010000101000…
…010100100000000
3210010201210121121
4102011002210000
51110121423404
650033002024
710342046635
oct2205024400
9703653547
10303311104
11146236138
12856b3314
134aab9c35
142c3d618c
151b964e54
hex12142900

303311104 has 36 divisors (see below), whose sum is σ = 611368576. Its totient is φ = 150170112.

The previous prime is 303311101. The next prime is 303311111. The reversal of 303311104 is 401113303.

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303311101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20617 + ... + 32119.

Almost surely, 2303311104 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 303311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305684288).

303311104 is an abundant number, since it is smaller than the sum of its proper divisors (308057472).

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

303311104 is a wasteful number, since it uses less digits than its factorization.

303311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 303311104 is about 17415.8291218076. The cubic root of 303311104 is about 671.8867912090.

Adding to 303311104 its reverse (401113303), we get a palindrome (704424407).

The spelling of 303311104 in words is "three hundred three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 824 1648 3296 6592 11503 13184 23006 26368 46012 92024 184048 368096 736192 1184809 1472384 2369618 2944768 4739236 9478472 18956944 37913888 75827776 151655552 303311104