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270349728 = 253112311131
BaseRepresentation
bin10000000111010…
…011010110100000
3200211201012002220
4100013103112200
51023202142403
642454311040
76461635425
oct2007232640
9624635086
10270349728
11129672830
1276658480
134401906c
1427c95d4c
1518b03953
hex101d35a0

270349728 has 96 divisors (see below), whose sum is σ = 807916032. Its totient is φ = 78355200.

The previous prime is 270349721. The next prime is 270349769. The reversal of 270349728 is 827943072.

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

It is a self number, because there is not a number n which added to its sum of digits gives 270349728.

It is not an unprimeable number, because it can be changed into a prime (270349721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18723 + ... + 29853.

It is an arithmetic number, because the mean of its divisors is an integer number (8415792).

Almost surely, 2270349728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403958016).

270349728 is an abundant number, since it is smaller than the sum of its proper divisors (537566304).

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

270349728 is a wasteful number, since it uses less digits than its factorization.

270349728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11170 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 270349728 is about 16442.3151654504. The cubic root of 270349728 is about 646.6093481393.

The spelling of 270349728 in words is "two hundred seventy million, three hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 11131 12144 22262 24288 33393 44524 66786 89048 122441 133572 178096 244882 256013 267144 356192 367323 489764 512026 534288 734646 768039 979528 1024052 1068576 1469292 1536078 1959056 2048104 2816143 2938584 3072156 3918112 4096208 5632286 5877168 6144312 8192416 8448429 11264572 11754336 12288624 16896858 22529144 24577248 33793716 45058288 67587432 90116576 135174864 270349728