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34452730080 = 253357975169
BaseRepresentation
bin100000000101100010…
…101111000011100000
310021221001220000202000
4200011202233003200
51031024344330310
623454413324000
72326525242126
oct400542570340
9107831800660
1034452730080
111367a73904a
126816196600
133330a2b022
14194b96b916
15d699cb4c0
hex8058af0e0

34452730080 has 96 divisors (see below), whose sum is σ = 120584570400. Its totient is φ = 9187393536.

The previous prime is 34452730061. The next prime is 34452730129. The reversal of 34452730080 is 8003725443.

It is a happy number.

34452730080 is a `hidden beast` number, since 344 + 5 + 2 + 7 + 300 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 3983265 + ... + 3991904.

It is an arithmetic number, because the mean of its divisors is an integer number (1256089275).

Almost surely, 234452730080 is an apocalyptic number.

34452730080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34452730080 is an abundant number, since it is smaller than the sum of its proper divisors (86131840320).

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

34452730080 is a wasteful number, since it uses less digits than its factorization.

34452730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7975193 (or 7975179 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34452730080 in words is "thirty-four billion, four hundred fifty-two million, seven hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 7975169 15950338 23925507 31900676 39875845 47851014 63801352 71776521 79751690 95702028 119627535 127602704 143553042 159503380 191404056 215329563 239255070 255205408 287106084 319006760 358882605 382808112 430659126 478510140 574212168 638013520 717765210 765616224 861318252 957020280 1076647815 1148424336 1276027040 1435530420 1722636504 1914040560 2153295630 2296848672 2871060840 3445273008 3828081120 4306591260 5742121680 6890546016 8613182520 11484243360 17226365040 34452730080