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270047376 = 24322577297
BaseRepresentation
bin10000000110001…
…001100010010000
3200211010211100200
4100012021202100
51023113004001
642444015200
76456236064
oct2006114220
9624124320
10270047376
11129486655
1276531500
1343c41561
1427c17aa4
1518a94086
hex10189890

270047376 has 60 divisors (see below), whose sum is σ = 758802252. Its totient is φ = 89653248.

The previous prime is 270047369. The next prime is 270047377. The reversal of 270047376 is 673740072.

It can be written as a sum of positive squares in 2 ways, for example, as 199487376 + 70560000 = 14124^2 + 8400^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 270047376.

It is not an unprimeable number, because it can be changed into a prime (270047377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33360 + ... + 40656.

Almost surely, 2270047376 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 270047376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379401126).

270047376 is an abundant number, since it is smaller than the sum of its proper divisors (488754876).

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

270047376 is a wasteful number, since it uses less digits than its factorization.

270047376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 270047376 is about 16433.1182676934. The cubic root of 270047376 is about 646.3682079461.

The spelling of 270047376 in words is "two hundred seventy million, forty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 3084 4112 4626 6168 7297 9252 12336 14594 18504 21891 29188 37008 43782 58376 65673 87564 116752 131346 175128 262692 350256 525384 1050768 1875329 3750658 5625987 7501316 11251974 15002632 16877961 22503948 30005264 33755922 45007896 67511844 90015792 135023688 270047376