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274065480 = 2332513157373
BaseRepresentation
bin10000010101011…
…110100001001000
3201002200222011100
4100111132201020
51030130043410
643110101400
76535342503
oct2025364110
9632628140
10274065480
111307804a7
127794a860
1344a1a430
142858213a
15190d98c0
hex1055e848

274065480 has 192 divisors, whose sum is σ = 967926960. Its totient is φ = 66852864.

The previous prime is 274065437. The next prime is 274065487. The reversal of 274065480 is 84560472.

It can be written as a sum of positive squares in 8 ways, for example, as 48525156 + 225540324 = 6966^2 + 15018^2 .

It is a super-2 number, since 2×2740654802 = 150223774655260800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (274065487) 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 47 ways as a sum of consecutive naturals, for example, 734574 + ... + 734946.

Almost surely, 2274065480 is an apocalyptic number.

274065480 is a gapful number since it is divisible by the number (20) 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 274065480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483963480).

274065480 is an abundant number, since it is smaller than the sum of its proper divisors (693861480).

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

274065480 is a wasteful number, since it uses less digits than its factorization.

274065480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 274065480 is about 16554.9231348261. The cubic root of 274065480 is about 649.5582639695.

The spelling of 274065480 in words is "two hundred seventy-four million, sixty-five thousand, four hundred eighty".