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34220012304 = 2439766111119
BaseRepresentation
bin11111110111101010…
…111111001100010000
310021022211222201222010
4133313222333030100
51030040310343204
623415341342520
72321001206502
oct376752771420
9107284881863
1034220012304
1113570339805
126770267a40
1332c47599ba
141928aadd72
15d5435cd89
hex7f7abf310

34220012304 has 80 divisors (see below), whose sum is σ = 89456218880. Its totient is φ = 11270983680.

The previous prime is 34220012269. The next prime is 34220012399. The reversal of 34220012304 is 40321002243.

It is a super-2 number, since 2×342200123042 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3072057 + ... + 3083175.

It is an arithmetic number, because the mean of its divisors is an integer number (1118202736).

Almost surely, 234220012304 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 34220012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44728109440).

34220012304 is an abundant number, since it is smaller than the sum of its proper divisors (55236206576).

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

34220012304 is a wasteful number, since it uses less digits than its factorization.

34220012304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 34220012304 its reverse (40321002243), we get a palindrome (74541014547).

The spelling of 34220012304 in words is "thirty-four billion, two hundred twenty million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 194 291 388 582 661 776 1164 1322 1552 1983 2328 2644 3966 4656 5288 7932 10576 11119 15864 22238 31728 33357 44476 64117 66714 88952 128234 133428 177904 192351 256468 266856 384702 512936 533712 769404 1025872 1078543 1538808 2157086 3077616 3235629 4314172 6471258 7349659 8628344 12942516 14699318 17256688 22048977 25885032 29398636 44097954 51770064 58797272 88195908 117594544 176391816 352783632 712916923 1425833846 2138750769 2851667692 4277501538 5703335384 8555003076 11406670768 17110006152 34220012304