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3042040608 = 253229457797
BaseRepresentation
bin1011010101010001…
…1101101100100000
321212000010200012200
42311110131230200
522212230244413
61221505253200
7135245630025
oct26524355440
97760120180
103042040608
111321175152
1270a934200
13396313b39
1420c02b54c
1512c0ea573
hexb551db20

3042040608 has 144 divisors (see below), whose sum is σ = 8979941880. Its totient is φ = 975679488.

The previous prime is 3042040583. The next prime is 3042040609. The reversal of 3042040608 is 8060402403.

3042040608 is a `hidden beast` number, since 30 + 4 + 20 + 4 + 0 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2940675984 + 101364624 = 54228^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×30420406082 = 18508022121442019328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3042040609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3816466 + ... + 3817262.

Almost surely, 23042040608 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 3042040608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489970940).

3042040608 is an abundant number, since it is smaller than the sum of its proper divisors (5937901272).

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

3042040608 is a wasteful number, since it uses less digits than its factorization.

3042040608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3042040608 is about 55154.6970619910. The cubic root of 3042040608 is about 1448.9553487120.

The spelling of 3042040608 in words is "three billion, forty-two million, forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 457 464 522 696 797 914 928 1044 1371 1392 1594 1828 2088 2391 2742 2784 3188 3656 4113 4176 4782 5484 6376 7173 7312 8226 8352 9564 10968 12752 13253 14346 14624 16452 19128 21936 23113 25504 26506 28692 32904 38256 39759 43872 46226 53012 57384 65808 69339 76512 79518 92452 106024 114768 119277 131616 138678 159036 184904 208017 212048 229536 238554 277356 318072 364229 369808 416034 424096 477108 554712 636144 728458 739616 832068 954216 1092687 1109424 1272288 1456916 1664136 1908432 2185374 2218848 2913832 3278061 3328272 3816864 4370748 5827664 6556122 6656544 8741496 10562641 11655328 13112244 17482992 21125282 26224488 31687923 34965984 42250564 52448976 63375846 84501128 95063769 104897952 126751692 169002256 190127538 253503384 338004512 380255076 507006768 760510152 1014013536 1521020304 3042040608