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333144042 = 237211313323
BaseRepresentation
bin10011110110110…
…101111111101010
3212012212110201020
4103312311333222
51140241102132
653020233310
711153451300
oct2366657752
9765773636
10333144042
11161062060
129369b836
1354033b6a
1432360270
151e3a952c
hex13db5fea

333144042 has 96 divisors (see below), whose sum is σ = 873068544. Its totient is φ = 83714400.

The previous prime is 333144023. The next prime is 333144047. The reversal of 333144042 is 240441333.

It is a super-2 number, since 2×3331440422 = 221969905440195528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333144047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98593 + ... + 101915.

It is an arithmetic number, because the mean of its divisors is an integer number (9094464).

Almost surely, 2333144042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333144042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436534272).

333144042 is an abundant number, since it is smaller than the sum of its proper divisors (539924502).

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

333144042 is a wasteful number, since it uses less digits than its factorization.

333144042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3384 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 333144042 is about 18252.2338906776. The cubic root of 333144042 is about 693.2300022187.

Adding to 333144042 its reverse (240441333), we get a palindrome (573585375).

The spelling of 333144042 in words is "three hundred thirty-three million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 49 62 66 77 93 98 147 154 186 217 231 294 341 434 462 539 651 682 1023 1078 1302 1519 1617 2046 2387 3038 3234 3323 4557 4774 6646 7161 9114 9969 14322 16709 19938 23261 33418 36553 46522 50127 69783 73106 100254 103013 109659 139566 162827 206026 219318 255871 309039 325654 488481 511742 618078 721091 767613 976962 1133143 1442182 1535226 1791097 2163273 2266286 3399429 3582194 4326546 5047637 5373291 6798858 7932001 10095274 10746582 15142911 15864002 23796003 30285822 47592006 55524007 111048014 166572021 333144042