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1034112240 = 2432571910799
BaseRepresentation
bin111101101000110…
…100110011110000
32200001212100022100
4331220310303300
54104213042430
6250340340400
734424544330
oct7550646360
92601770270
101034112240
11490802917
1224a3a4700
13136321b45
149b4ab0c0
1560bbd960
hex3da34cf0

1034112240 has 240 divisors, whose sum is σ = 4178304000. Its totient is φ = 223907328.

The previous prime is 1034112239. The next prime is 1034112241. The reversal of 1034112240 is 422114301.

1034112240 is a `hidden beast` number, since 10 + 3 + 411 + 2 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (1034112239) and next prime (1034112241).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034112241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90361 + ... + 101159.

It is an arithmetic number, because the mean of its divisors is an integer number (17409600).

Almost surely, 21034112240 is an apocalyptic number.

1034112240 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 1034112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089152000).

1034112240 is an abundant number, since it is smaller than the sum of its proper divisors (3144191760).

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

1034112240 is a wasteful number, since it uses less digits than its factorization.

1034112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10835 counting only the distinct ones).

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

The square root of 1034112240 is about 32157.6155832487. The cubic root of 1034112240 is about 1011.2438487018.

Adding to 1034112240 its reverse (422114301), we get a palindrome (1456226541).

The spelling of 1034112240 in words is "one billion, thirty-four million, one hundred twelve thousand, two hundred forty".