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303142104 = 233229473089
BaseRepresentation
bin10010000100011…
…001010011011000
3210010102012210100
4102010121103120
51110101021404
650025215400
710340444136
oct2204312330
9703365710
10303142104
11146130171
1285631560
134aa5b035
142c390756
151b92ed39
hex121194d8

303142104 has 96 divisors (see below), whose sum is σ = 867672000. Its totient is φ = 95456256.

The previous prime is 303142031. The next prime is 303142109. The reversal of 303142104 is 401241303.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303142109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96592 + ... + 99680.

It is an arithmetic number, because the mean of its divisors is an integer number (9038250).

Almost surely, 2303142104 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 303142104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433836000).

303142104 is an abundant number, since it is smaller than the sum of its proper divisors (564529896).

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

303142104 is a wasteful number, since it uses less digits than its factorization.

303142104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 303142104 is about 17410.9765378051. The cubic root of 303142104 is about 671.7619799047.

Adding to 303142104 its reverse (401241303), we get a palindrome (704383407).

The spelling of 303142104 in words is "three hundred three million, one hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 423 522 564 696 846 1044 1128 1363 1692 2088 2726 3089 3384 4089 5452 6178 8178 9267 10904 12267 12356 16356 18534 24534 24712 27801 32712 37068 49068 55602 74136 89581 98136 111204 145183 179162 222408 268743 290366 358324 435549 537486 580732 716648 806229 871098 1074972 1161464 1306647 1612458 1742196 2149944 2613294 3224916 3484392 4210307 5226588 6449832 8420614 10453176 12630921 16841228 25261842 33682456 37892763 50523684 75785526 101047368 151571052 303142104