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3000442120 = 235137973039
BaseRepresentation
bin1011001011010111…
…0001110100001000
321202002212020210221
42302311301310020
522121103121440
61213421515424
7134232223444
oct26265616410
97662766727
103000442120
1112aa742635
126b8a12b74
1338a80a850
142066bd824
1512862ed4a
hexb2d71d08

3000442120 has 64 divisors (see below), whose sum is σ = 7362432000. Its totient is φ = 1093817088.

The previous prime is 3000442103. The next prime is 3000442129. The reversal of 3000442120 is 212440003.

It is a junction number, because it is equal to n+sod(n) for n = 3000442094 and 3000442103.

It is not an unprimeable number, because it can be changed into a prime (3000442129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4561 + ... + 77599.

It is an arithmetic number, because the mean of its divisors is an integer number (115038000).

Almost surely, 23000442120 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 3000442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681216000).

3000442120 is an abundant number, since it is smaller than the sum of its proper divisors (4361989880).

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

3000442120 is a wasteful number, since it uses less digits than its factorization.

3000442120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73142 (or 73138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3000442120 is about 54776.2915867805. The cubic root of 3000442120 is about 1442.3204165361.

Adding to 3000442120 its reverse (212440003), we get a palindrome (3212882123).

The spelling of 3000442120 in words is "three billion, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 104 130 158 260 316 395 520 632 790 1027 1580 2054 3160 4108 5135 8216 10270 20540 41080 73039 146078 292156 365195 584312 730390 949507 1460780 1899014 2921560 3798028 4747535 5770081 7596056 9495070 11540162 18990140 23080324 28850405 37980280 46160648 57700810 75011053 115401620 150022106 230803240 300044212 375055265 600088424 750110530 1500221060 3000442120