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34846661808 = 2433719606493
BaseRepresentation
bin100000011101000001…
…011101110010110000
310022221112010211111000
4200131001131302300
51032331221134213
624001444522000
72342350511130
oct403501356260
9108845124430
1034846661808
1113862039862
1269060b0300
13339452651a
141987dd2ac0
15d8e391c73
hex81d05dcb0

34846661808 has 160 divisors (see below), whose sum is σ = 120328409600. Its totient is φ = 9432163584.

The previous prime is 34846661797. The next prime is 34846661809. The reversal of 34846661808 is 80816664843.

It is a super-2 number, since 2×348466618082 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34846661809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245791 + ... + 360702.

It is an arithmetic number, because the mean of its divisors is an integer number (752052560).

Almost surely, 234846661808 is an apocalyptic number.

34846661808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

34846661808 is an abundant number, since it is smaller than the sum of its proper divisors (85481747792).

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

34846661808 is a wasteful number, since it uses less digits than its factorization.

34846661808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606536 (or 606524 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 34846661808 in words is "thirty-four billion, eight hundred forty-six million, six hundred sixty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 606493 1212986 1819479 2425972 3638958 4245451 4851944 5458437 7277916 8490902 9703888 10916874 11523367 12736353 14555832 16375311 16981804 21833748 23046734 25472706 29111664 32750622 33963608 34570101 38209059 43667496 46093468 50945412 65501244 67927216 69140202 76418118 80663569 87334992 92186936 101890824 103710303 114627177 131002488 138280404 152836236 161327138 184373872 203781648 207420606 229254354 241990707 262004976 276560808 305672472 311130909 322654276 414841212 458508708 483981414 553121616 611344944 622261818 645308552 725972121 829682424 917017416 967962828 1244523636 1290617104 1451944242 1659364848 1834034832 1935925656 2177916363 2489047272 2903888484 3871851312 4355832726 4978094544 5807776968 8711665452 11615553936 17423330904 34846661808