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3011234304 = 29313197937
BaseRepresentation
bin1011001101111011…
…1100101000000000
321202212011112220110
42303132330220000
522131333444204
61214445111320
7134423032521
oct26336745000
97685145813
103011234304
1113058439a1
12700558540
1338cb18b60
14207ccc848
15129562889
hexb37bca00

3011234304 has 160 divisors (see below), whose sum is σ = 9095042880. Its totient is φ = 877658112.

The previous prime is 3011234297. The next prime is 3011234309. The reversal of 3011234304 is 4034321103.

It is not an unprimeable number, because it can be changed into a prime (3011234309) 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, 375424 + ... + 383360.

It is an arithmetic number, because the mean of its divisors is an integer number (56844018).

Almost surely, 23011234304 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 3011234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547521440).

3011234304 is an abundant number, since it is smaller than the sum of its proper divisors (6083808576).

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

3011234304 is a wasteful number, since it uses less digits than its factorization.

3011234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7974 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3011234304 is about 54874.7146142921. The cubic root of 3011234304 is about 1444.0476244195.

Adding to 3011234304 its reverse (4034321103), we get a palindrome (7045555407).

The spelling of 3011234304 in words is "three billion, eleven million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 741 768 832 912 988 1216 1248 1482 1536 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 6656 7296 7904 7937 9728 9984 11856 14592 15808 15874 19968 23712 23811 29184 31616 31748 47424 47622 63232 63496 94848 95244 103181 126464 126992 150803 189696 190488 206362 253984 301606 309543 379392 380976 412724 452409 507968 603212 619086 761952 825448 904818 1015936 1206424 1238172 1523904 1650896 1809636 1960439 2031872 2412848 2476344 3047808 3301792 3619272 3920878 4063744 4825696 4952688 5881317 6095616 6603584 7238544 7841756 9651392 9905376 11762634 12191232 13207168 14477088 15683512 19302784 19810752 23525268 26414336 28954176 31367024 38605568 39621504 47050536 52828672 57908352 62734048 77211136 79243008 94101072 115816704 125468096 158486016 188202144 231633408 250936192 376404288 501872384 752808576 1003744768 1505617152 3011234304