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34578376704 = 211321875997
BaseRepresentation
bin100000001101000010…
…000010100000000000
310022020211022112111200
4200031002002200000
51031304031023304
623515102341200
72332612231614
oct401502024000
9108224275450
1034578376704
1113734657233
12685028a800
133350a81141
141960517344
15d75a49e39
hex80d082800

34578376704 has 72 divisors (see below), whose sum is σ = 99868753530. Its totient is φ = 11526119424.

The previous prime is 34578376699. The next prime is 34578376727. The reversal of 34578376704 is 40767387543.

34578376704 is a `hidden beast` number, since 3 + 4 + 578 + 3 + 7 + 67 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34578146304 + 230400 = 185952^2 + 480^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 919567 + ... + 956430.

Almost surely, 234578376704 is an apocalyptic number.

It is an amenable number.

34578376704 is an abundant number, since it is smaller than the sum of its proper divisors (65290376826).

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

34578376704 is a wasteful number, since it uses less digits than its factorization.

34578376704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876025 (or 1876002 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 34578376704 in words is "thirty-four billion, five hundred seventy-eight million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 1875997 3751994 5627991 7503988 11255982 15007976 16883973 22511964 30015952 33767946 45023928 60031904 67535892 90047856 120063808 135071784 180095712 240127616 270143568 360191424 480255232 540287136 720382848 960510464 1080574272 1440765696 1921020928 2161148544 2881531392 3842041856 4322297088 5763062784 8644594176 11526125568 17289188352 34578376704