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1134010440 = 2332519317523
BaseRepresentation
bin100001110010111…
…1010000001001000
32221000211200212200
41003211322001020
54310301313230
6304305440200
740046633613
oct10345720110
92830750780
101134010440
11532134912
12277940060
13150c2b1c4
14aa87317a
1569853160
hex4397a048

1134010440 has 192 divisors, whose sum is σ = 3899188800. Its totient is φ = 285037056.

The previous prime is 1134010439. The next prime is 1134010463. The reversal of 1134010440 is 440104311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2168019 + ... + 2168541.

It is an arithmetic number, because the mean of its divisors is an integer number (20308275).

Almost surely, 21134010440 is an apocalyptic number.

1134010440 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 1134010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949594400).

1134010440 is an abundant number, since it is smaller than the sum of its proper divisors (2765178360).

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

1134010440 is a wasteful number, since it uses less digits than its factorization.

1134010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 869 counting only the distinct ones).

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

The square root of 1134010440 is about 33675.0714921290. The cubic root of 1134010440 is about 1042.8111936076.

Adding to 1134010440 its reverse (440104311), we get a palindrome (1574114751).

The spelling of 1134010440 in words is "one billion, one hundred thirty-four million, ten thousand, four hundred forty".