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1124210034 = 232174677867
BaseRepresentation
bin100001100000010…
…0001010101110010
32220100101210020200
41003000201111302
54300244210114
6303315420030
736600425163
oct10300412562
92810353220
101124210034
11527650702
122745b4616
1314bba944c
14a944176a
1568a69409
hex43021572

1124210034 has 48 divisors (see below), whose sum is σ = 2584921248. Its totient is φ = 351893376.

The previous prime is 1124210023. The next prime is 1124210039. The reversal of 1124210034 is 4300124211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1124209989 and 1124210016.

It is not an unprimeable number, because it can be changed into a prime (1124210039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138969 + ... + 146835.

It is an arithmetic number, because the mean of its divisors is an integer number (53852526).

Almost surely, 21124210034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124210034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292460624).

1124210034 is an abundant number, since it is smaller than the sum of its proper divisors (1460711214).

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

1124210034 is a wasteful number, since it uses less digits than its factorization.

1124210034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8359 (or 8356 counting only the distinct ones).

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

The square root of 1124210034 is about 33529.2414766574. The cubic root of 1124210034 is about 1039.7984181540.

Adding to 1124210034 its reverse (4300124211), we get a palindrome (5424334245).

The spelling of 1124210034 in words is "one billion, one hundred twenty-four million, two hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 467 934 1401 2802 4203 7867 7939 8406 15734 15878 23601 23817 47202 47634 70803 71451 133739 141606 142902 267478 401217 802434 1203651 2407302 3673889 7347778 11021667 22043334 33065001 62456113 66130002 124912226 187368339 374736678 562105017 1124210034