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1134401004 = 22331119291733
BaseRepresentation
bin100001110011101…
…1001010111101100
32221001120112122000
41003213121113230
54310401313004
6304322052300
740053151362
oct10347312754
92831515560
101134401004
115323812a0
12277aaa090
13151036bc9
14aa935632
15698cdc39
hex439d95ec

1134401004 has 192 divisors, whose sum is σ = 3495744000. Its totient is φ = 314254080.

The previous prime is 1134401003. The next prime is 1134401039. The reversal of 1134401004 is 4001044311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1134401003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 653722 + ... + 655454.

It is an arithmetic number, because the mean of its divisors is an integer number (18207000).

Almost surely, 21134401004 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 1134401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).

1134401004 is an abundant number, since it is smaller than the sum of its proper divisors (2361342996).

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

1134401004 is a wasteful number, since it uses less digits than its factorization.

1134401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1134401004 is about 33680.8700006398. The cubic root of 1134401004 is about 1042.9308979031.

Adding to 1134401004 its reverse (4001044311), we get a palindrome (5135445315).

The spelling of 1134401004 in words is "one billion, one hundred thirty-four million, four hundred one thousand, four".