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1134444040 = 235291735653
BaseRepresentation
bin100001110011110…
…0011111000001000
32221001122201122221
41003213203320020
54310404202130
6304323023424
740053421012
oct10347437010
92831581587
101134444040
11532400664
12277b0ab74
13151050682
14aa9471b2
15698db87a
hex439e3e08

1134444040 has 64 divisors (see below), whose sum is σ = 2656249200. Its totient is φ = 435520512.

The previous prime is 1134443993. The next prime is 1134444043. The reversal of 1134444040 is 404444311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 916999524 + 217444516 = 30282^2 + 14746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1134443996 and 1134444014.

It is not an unprimeable number, because it can be changed into a prime (1134444043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197854 + ... + 203506.

Almost surely, 21134444040 is an apocalyptic number.

1134444040 is a gapful number since it is divisible by the number (10) 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 1134444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328124600).

1134444040 is an abundant number, since it is smaller than the sum of its proper divisors (1521805160).

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

1134444040 is a wasteful number, since it uses less digits than its factorization.

1134444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 1134444040 is about 33681.5088735644. The cubic root of 1134444040 is about 1042.9440863631.

Adding to 1134444040 its reverse (404444311), we get a palindrome (1538888351).

The spelling of 1134444040 in words is "one billion, one hundred thirty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 173 232 290 346 580 692 865 1160 1384 1730 3460 5017 5653 6920 10034 11306 20068 22612 25085 28265 40136 45224 50170 56530 100340 113060 163937 200680 226120 327874 655748 819685 977969 1311496 1639370 1955938 3278740 3911876 4889845 6557480 7823752 9779690 19559380 28361101 39118760 56722202 113444404 141805505 226888808 283611010 567222020 1134444040