Search a number
-
+
1134673344 = 26327347811
BaseRepresentation
bin100001110100001…
…1011110111000000
32221002002101012200
41003220123313000
54310434021334
6304331553200
740055364360
oct10350336700
92832071180
101134673344
11532547972
12277bbb800
13151100b5c
14aa9a69a0
1569934799
hex43a1bdc0

1134673344 has 168 divisors, whose sum is σ = 3732263808. Its totient is φ = 322859520.

The previous prime is 1134673333. The next prime is 1134673349. The reversal of 1134673344 is 4433764311.

It is a tau number, because it is divible by the number of its divisors (168).

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 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 = 1134673299 and 1134673308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134673349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398699 + ... + 1399509.

It is an arithmetic number, because the mean of its divisors is an integer number (22215856).

Almost surely, 21134673344 is an apocalyptic number.

1134673344 is a gapful number since it is divisible by the number (14) 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 1134673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866131904).

1134673344 is an abundant number, since it is smaller than the sum of its proper divisors (2597590464).

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

1134673344 is a wasteful number, since it uses less digits than its factorization.

1134673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1170 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 1134673344 is about 33684.9127058391. The cubic root of 1134673344 is about 1043.0143513654.

The spelling of 1134673344 in words is "one billion, one hundred thirty-four million, six hundred seventy-three thousand, three hundred forty-four".