Search a number
-
+
269934336 = 283372797
BaseRepresentation
bin10000000101101…
…101111100000000
3200210221002022000
4100011231330000
51023100344321
642441344000
76455255400
oct2005557400
9623832260
10269934336
11129409731
1276498000
1343c01c79
1427bc8800
1518a70826
hex1016df00

269934336 has 216 divisors, whose sum is σ = 929733840. Its totient is φ = 77027328.

The previous prime is 269934331. The next prime is 269934337. The reversal of 269934336 is 633439962.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 269934291 and 269934300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269934331) 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 23 ways as a sum of consecutive naturals, for example, 338290 + ... + 339086.

Almost surely, 2269934336 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 269934336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464866920).

269934336 is an abundant number, since it is smaller than the sum of its proper divisors (659799504).

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

269934336 is an equidigital number, since it uses as much as digits as its factorization.

269934336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 809 counting only the distinct ones).

The product of its digits is 629856, while the sum is 45.

The square root of 269934336 is about 16429.6785117664. The cubic root of 269934336 is about 646.2780069098.

It can be divided in two parts, 26993 and 4336, that added together give a square (31329 = 1772).

The spelling of 269934336 in words is "two hundred sixty-nine million, nine hundred thirty-four thousand, three hundred thirty-six".