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3002340204 = 22323173137269
BaseRepresentation
bin1011001011110100…
…0001001101101100
321202020102200111100
42302331001031230
522122044341304
61213530323100
7134254320303
oct26275011554
97666380440
103002340204
1113008196a6
126b9589490
1338b023786
14206a5543a
151288a7439
hexb2f4136c

3002340204 has 144 divisors (see below), whose sum is σ = 8029082880. Its totient is φ = 944732160.

The previous prime is 3002340203. The next prime is 3002340287. The reversal of 3002340204 is 4020432003.

3002340204 is a `hidden beast` number, since 300 + 2 + 340 + 20 + 4 = 666.

3002340204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (3002340203) 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, 11160982 + ... + 11161250.

It is an arithmetic number, because the mean of its divisors is an integer number (55757520).

Almost surely, 23002340204 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 3002340204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014541440).

3002340204 is an abundant number, since it is smaller than the sum of its proper divisors (5026742676).

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

3002340204 is a wasteful number, since it uses less digits than its factorization.

3002340204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3002340204 is about 54793.6146279838. The cubic root of 3002340204 is about 1442.6244904158.

Adding to 3002340204 its reverse (4020432003), we get a palindrome (7022772207).

It can be divided in two parts, 3002 and 340204, that added together give a triangular number (343206 = T828).

The spelling of 3002340204 in words is "three billion, two million, three hundred forty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 137 146 186 219 269 274 279 292 372 411 438 538 548 558 657 807 822 876 1076 1116 1233 1314 1614 1644 2263 2421 2466 2628 3228 4247 4526 4842 4932 6789 8339 8494 9052 9684 10001 12741 13578 16678 16988 19637 20002 20367 25017 25482 27156 30003 33356 36853 38223 39274 40004 40734 50034 50964 58911 60006 73706 75051 76446 78548 81468 90009 100068 110559 117822 120012 147412 150102 152892 176733 180018 221118 235644 300204 310031 331677 353466 360036 442236 608747 620062 663354 706932 930093 1142443 1217494 1240124 1326708 1826241 1860186 2284886 2434988 2690269 2790279 3427329 3652482 3720372 4569772 5380538 5478723 5580558 6854658 7304964 8070807 10281987 10761076 10957446 11161116 13709316 16141614 20563974 21914892 24212421 32283228 41127948 48424842 83398339 96849684 166796678 250195017 333593356 500390034 750585051 1000780068 1501170102 3002340204