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1134323712 = 21132194179
BaseRepresentation
bin100001110011100…
…0110100000000000
32221001102121121100
41003213012200000
54310341324322
6304320254400
740052410134
oct10347064000
92831377540
101134323712
11532329215
12277a71400
1315100a982
14aa9153c4
15698b5dac
hex439c6800

1134323712 has 288 divisors, whose sum is σ = 3577392000. Its totient is φ = 345047040.

The previous prime is 1134323711. The next prime is 1134323737. The reversal of 1134323712 is 2173234311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (3024) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (1134323711) 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, 14358489 + ... + 14358567.

It is an arithmetic number, because the mean of its divisors is an integer number (12421500).

Almost surely, 21134323712 is an apocalyptic number.

1134323712 is a gapful number since it is divisible by the number (12) 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 1134323712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788696000).

1134323712 is an abundant number, since it is smaller than the sum of its proper divisors (2443068288).

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

1134323712 is a wasteful number, since it uses less digits than its factorization.

1134323712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1134323712 is about 33679.7225641780. The cubic root of 1134323712 is about 1042.9072107926.

The spelling of 1134323712 in words is "one billion, one hundred thirty-four million, three hundred twenty-three thousand, seven hundred twelve".