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3042354336 = 253725312203
BaseRepresentation
bin1011010101010110…
…1010010010100000
321212000201121120020
42311111222102200
522212320314321
61221520113440
7135251404500
oct26525522240
97760647506
103042354336
11132136992a
1270aa65880
133963c3888
1420c0ada00
1512c15d4c6
hexb556a4a0

3042354336 has 144 divisors (see below), whose sum is σ = 9466105824. Its totient is φ = 852773376.

The previous prime is 3042354319. The next prime is 3042354401. The reversal of 3042354336 is 6334532403.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3042354297 and 3042354306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243211 + ... + 255413.

It is an arithmetic number, because the mean of its divisors is an integer number (65736846).

Almost surely, 23042354336 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 3042354336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4733052912).

3042354336 is an abundant number, since it is smaller than the sum of its proper divisors (6423751488).

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

3042354336 is a wasteful number, since it uses less digits than its factorization.

3042354336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12283 (or 12268 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

The square root of 3042354336 is about 55157.5410619437. The cubic root of 3042354336 is about 1449.0051576283.

Adding to 3042354336 its reverse (6334532403), we get a palindrome (9376886739).

The spelling of 3042354336 in words is "three billion, forty-two million, three hundred fifty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 53 56 84 96 98 106 112 147 159 168 196 212 224 294 318 336 371 392 424 588 636 672 742 784 848 1113 1176 1272 1484 1568 1696 2226 2352 2544 2597 2968 4452 4704 5088 5194 5936 7791 8904 10388 11872 12203 15582 17808 20776 24406 31164 35616 36609 41552 48812 62328 73218 83104 85421 97624 124656 146436 170842 195248 249312 256263 292872 341684 390496 512526 585744 597947 646759 683368 1025052 1171488 1195894 1293518 1366736 1793841 1940277 2050104 2391788 2587036 2733472 3587682 3880554 4100208 4527313 4783576 5174072 7175364 7761108 8200416 9054626 9567152 10348144 13581939 14350728 15522216 18109252 19134304 20696288 27163878 28701456 31044432 31691191 36218504 54327756 57402912 62088864 63382382 72437008 95073573 108655512 126764764 144874016 190147146 217311024 253529528 380294292 434622048 507059056 760588584 1014118112 1521177168 3042354336