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269029440 = 26325109857
BaseRepresentation
bin10000000010010…
…001000001000000
3200202020010000100
4100002101001000
51022332420230
642410122400
76444466251
oct2002210100
9622203010
10269029440
11128950889
1276120400
1343976124
1427a30b28
1518942660
hex10091040

269029440 has 168 divisors, whose sum is σ = 934928280. Its totient is φ = 71000064.

The previous prime is 269029427. The next prime is 269029451. The reversal of 269029440 is 44920962.

It can be written as a sum of positive squares in 4 ways, for example, as 106007616 + 163021824 = 10296^2 + 12768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 269029395 and 269029404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313492 + ... + 314348.

Almost surely, 2269029440 is an apocalyptic number.

269029440 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 269029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467464140).

269029440 is an abundant number, since it is smaller than the sum of its proper divisors (665898840).

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

269029440 is a wasteful number, since it uses less digits than its factorization.

269029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 269029440 is about 16402.1169365421. The cubic root of 269029440 is about 645.5550297352. Note that the first 3 decimals are identical.

The spelling of 269029440 in words is "two hundred sixty-nine million, twenty-nine thousand, four hundred forty".