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351400080 = 24352695443
BaseRepresentation
bin10100111100011…
…111000010010000
3220111012222021210
4110330133002100
51204424300310
654511420120
711464565013
oct2474370220
9814188253
10351400080
111703a1099
1299824640
1357a56555
143495337a
1520cb3820
hex14f1f090

351400080 has 80 divisors (see below), whose sum is σ = 1093590720. Its totient is φ = 93341184.

The previous prime is 351400067. The next prime is 351400099. The reversal of 351400080 is 80004153.

It is a tau number, because it is divible by the number of its divisors (80).

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, 61839 + ... + 67281.

It is an arithmetic number, because the mean of its divisors is an integer number (13669884).

Almost surely, 2351400080 is an apocalyptic number.

351400080 is a gapful number since it is divisible by the number (30) 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 351400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546795360).

351400080 is an abundant number, since it is smaller than the sum of its proper divisors (742190640).

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

351400080 is a wasteful number, since it uses less digits than its factorization.

351400080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5728 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 351400080 is about 18745.6682996366. The cubic root of 351400080 is about 705.6683165120.

The spelling of 351400080 in words is "three hundred fifty-one million, four hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 5443 6456 8070 10760 10886 12912 16140 16329 21520 21772 27215 32280 32658 43544 54430 64560 65316 81645 87088 108860 130632 163290 217720 261264 326580 435440 653160 1306320 1464167 2928334 4392501 5856668 7320835 8785002 11713336 14641670 17570004 21962505 23426672 29283340 35140008 43925010 58566680 70280016 87850020 117133360 175700040 351400080