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34463022330 = 23511899712097
BaseRepresentation
bin100000000110001001…
…111111110011111010
310021221210020221001110
4200012021333303322
51031040013203310
623455422101150
72330011566522
oct400611776372
9107853227043
1034463022330
1113685528840
12681971a7b6
133332bc2909
14194d08a682
15d6a860d20
hex80627fcfa

34463022330 has 128 divisors (see below), whose sum is σ = 92192567040. Its totient is φ = 8174960640.

The previous prime is 34463022281. The next prime is 34463022359. The reversal of 34463022330 is 3322036443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2842842 + ... + 2854938.

It is an arithmetic number, because the mean of its divisors is an integer number (720254430).

Almost surely, 234463022330 is an apocalyptic number.

34463022330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34463022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46096283520).

34463022330 is an abundant number, since it is smaller than the sum of its proper divisors (57729544710).

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

34463022330 is a wasteful number, since it uses less digits than its factorization.

34463022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12304.

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 34463022330 its reverse (3322036443), we get a palindrome (37785058773).

The spelling of 34463022330 in words is "thirty-four billion, four hundred sixty-three million, twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 97 110 165 178 194 267 291 330 445 485 534 582 890 970 979 1067 1335 1455 1958 2134 2670 2910 2937 3201 4895 5335 5874 6402 8633 9790 10670 12097 14685 16005 17266 24194 25899 29370 32010 36291 43165 51798 60485 72582 86330 94963 120970 129495 133067 181455 189926 258990 266134 284889 362910 399201 474815 569778 665335 798402 949630 1076633 1173409 1330670 1424445 1996005 2153266 2346818 2848890 3229899 3520227 3992010 5383165 5867045 6459798 7040454 10766330 11734090 11842963 12907499 16149495 17601135 23685926 25814998 32298990 35202270 35528889 38722497 59214815 64537495 71057778 77444994 104433401 118429630 129074990 177644445 193612485 208866802 313300203 355288890 387224970 522167005 626600406 1044334010 1148767411 1566501015 2297534822 3133002030 3446302233 5743837055 6892604466 11487674110 17231511165 34463022330