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302444142 = 2371113371361
BaseRepresentation
bin10010000001101…
…110111001101110
3210002002202100220
4102001232321232
51104411203032
650002232210
710331506230
oct2201567156
9702082326
10302444142
111457a3840
1285355666
134a875440
142c24c250
151b84312c
hex1206ee6e

302444142 has 128 divisors (see below), whose sum is σ = 834720768. Its totient is φ = 70502400.

The previous prime is 302444117. The next prime is 302444143. The reversal of 302444142 is 241444203.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302444143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221542 + ... + 222902.

It is an arithmetic number, because the mean of its divisors is an integer number (6521256).

Almost surely, 2302444142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302444142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417360384).

302444142 is an abundant number, since it is smaller than the sum of its proper divisors (532276626).

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

302444142 is a wasteful number, since it uses less digits than its factorization.

302444142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434.

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 302444142 is about 17390.9212521936. The cubic root of 302444142 is about 671.2460231620.

Adding to 302444142 its reverse (241444203), we get a palindrome (543888345).

It can be divided in two parts, 302 and 444142, that added together give a palindrome (444444).

The spelling of 302444142 in words is "three hundred two million, four hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1361 1443 1554 2002 2442 2722 2849 2886 3003 3367 4083 5291 5698 6006 6734 8166 8547 9527 10101 10582 14971 15873 17094 17693 19054 20202 28581 29942 31746 35386 37037 44913 50357 53079 57162 74074 89826 100714 104797 106158 111111 123851 151071 194623 209594 222222 247702 302142 314391 352499 371553 389246 553927 583869 628782 654641 704998 743106 1057497 1107854 1167738 1309282 1362361 1661781 1963923 2114994 2724722 3323562 3877489 3927846 4087083 4582487 7201051 7754978 8174166 9164974 11632467 13747461 14402102 21603153 23264934 27494922 43206306 50407357 100814714 151222071 302444142