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34712938080 = 2532524106207
BaseRepresentation
bin100000010101000011…
…010110011001100000
310022121012111222000100
4200111003112121200
51032043003004310
623540310422400
72336135051052
oct402503263140
9108535458010
1034712938080
11137a3604187
126889361a00
133372905b62
1419743438d2
15d82779ec0
hex8150d6660

34712938080 has 72 divisors (see below), whose sum is σ = 118457906112. Its totient is φ = 9256783104.

The previous prime is 34712938069. The next prime is 34712938093. The reversal of 34712938080 is 8083921743.

34712938080 is a `hidden beast` number, since 3 + 471 + 29 + 3 + 80 + 80 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12051664 + ... + 12054543.

It is an arithmetic number, because the mean of its divisors is an integer number (1645248696).

Almost surely, 234712938080 is an apocalyptic number.

34712938080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34712938080 is an abundant number, since it is smaller than the sum of its proper divisors (83744968032).

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

34712938080 is a wasteful number, since it uses less digits than its factorization.

34712938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24106228 (or 24106217 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34712938080 in words is "thirty-four billion, seven hundred twelve million, nine hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 24106207 48212414 72318621 96424828 120531035 144637242 192849656 216955863 241062070 289274484 361593105 385699312 433911726 482124140 578548968 723186210 771398624 867823452 964248280 1084779315 1157097936 1446372420 1735646904 1928496560 2169558630 2314195872 2892744840 3471293808 3856993120 4339117260 5785489680 6942587616 8678234520 11570979360 17356469040 34712938080