Search a number
-
+
69505344 = 2633192973
BaseRepresentation
bin1000010010010…
…01000101000000
311211210020102000
410021021011000
5120243132334
610521424000
71502533326
oct411110500
9154706360
1069505344
1136263437
121b33b000
131152762c
149333d16
15617e299
hex4249140

69505344 has 224 divisors, whose sum is σ = 225552000. Its totient is φ = 20901888.

The previous prime is 69505321. The next prime is 69505349. The reversal of 69505344 is 44350596.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 69505299 and 69505308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69505349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952092 + ... + 952164.

Almost surely, 269505344 is an apocalyptic number.

69505344 is a gapful number since it is divisible by the number (64) 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 69505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776000).

69505344 is an abundant number, since it is smaller than the sum of its proper divisors (156046656).

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

69505344 is a wasteful number, since it uses less digits than its factorization.

69505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 69505344 is about 8336.9865059265. The cubic root of 69505344 is about 411.1554635914.

The spelling of 69505344 in words is "sixty-nine million, five hundred five thousand, three hundred forty-four".