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305004042 = 23471012663
BaseRepresentation
bin10010001011011…
…111111000001010
3210020220210220000
4102023133320022
51111040112132
650133143430
710362330420
oct2213377012
9706823800
10305004042
11147192062
128618ab76
134b260685
142c717110
151bb9b87c
hex122dfe0a

305004042 has 80 divisors (see below), whose sum is σ = 789098112. Its totient is φ = 86248800.

The previous prime is 305003999. The next prime is 305004047. The reversal of 305004042 is 240400503.

It is a happy number.

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 (305004047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113203 + ... + 115865.

Almost surely, 2305004042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305004042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394549056).

305004042 is an abundant number, since it is smaller than the sum of its proper divisors (484094070).

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

305004042 is a wasteful number, since it uses less digits than its factorization.

305004042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 305004042 is about 17464.3649183129. The cubic root of 305004042 is about 673.1345232628.

Adding to 305004042 its reverse (240400503), we get a palindrome (545404545).

The spelling of 305004042 in words is "three hundred five million, four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 101 126 162 189 202 303 378 567 606 707 909 1134 1414 1818 2121 2663 2727 4242 5326 5454 6363 7989 8181 12726 15978 16362 18641 19089 23967 37282 38178 47934 55923 57267 71901 111846 114534 143802 167769 215703 268963 335538 431406 503307 537926 806889 1006614 1509921 1613778 1882741 2420667 3019842 3765482 4841334 5648223 7262001 11296446 14524002 16944669 21786003 33889338 43572006 50834007 101668014 152502021 305004042