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1348075008 = 2933713931
BaseRepresentation
bin101000001011001…
…1111111000000000
310110221122022021000
41100112133320000
510230101400013
6341433532000
745256306560
oct12026377000
93427568230
101348075008
11631a53785
12317574000
1318639b127
14cb076da0
157d539973
hex5059fe00

1348075008 has 160 divisors (see below), whose sum is σ = 4560779520. Its totient is φ = 385136640.

The previous prime is 1348074997. The next prime is 1348075031. The reversal of 1348075008 is 8005708431.

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, 89803 + ... + 103733.

It is an arithmetic number, because the mean of its divisors is an integer number (28504872).

Almost surely, 21348075008 is an apocalyptic number.

1348075008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1348075008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280389760).

1348075008 is an abundant number, since it is smaller than the sum of its proper divisors (3212704512).

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

1348075008 is an equidigital number, since it uses as much as digits as its factorization.

1348075008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1348075008 is about 36716.1409736917. The cubic root of 1348075008 is about 1104.6838862897.

It can be divided in two parts, 13480 and 75008, that added together give a palindrome (88488).

The spelling of 1348075008 in words is "one billion, three hundred forty-eight million, seventy-five thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 10752 12096 13824 13931 16128 24192 27862 32256 41793 48384 55724 83586 96768 97517 111448 125379 167172 195034 222896 250758 292551 334344 376137 390068 445792 501516 585102 668688 752274 780136 877653 891584 1003032 1170204 1337376 1504548 1560272 1755306 1783168 2006064 2340408 2632959 2674752 3009096 3120544 3510612 3566336 4012128 4680816 5265918 5349504 6018192 6241088 7021224 7132672 8024256 9361632 10531836 10699008 12036384 12482176 14042448 16048512 18723264 21063672 21398016 24072768 24964352 28084896 32097024 37446528 42127344 48145536 49928704 56169792 64194048 74893056 84254688 96291072 112339584 149786112 168509376 192582144 224679168 337018752 449358336 674037504 1348075008