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1112418384 = 2437211193173
BaseRepresentation
bin100001001001110…
…0010100001010000
32212112012201010220
41002103202201100
54234234342014
6302214553040
736365254200
oct10223424120
92775181126
101112418384
11520a27440
12270668780
1314960b23c
14a7a52400
15679da6a9
hex424e2850

1112418384 has 480 divisors, whose sum is σ = 4016885760. Its totient is φ = 261273600.

The previous prime is 1112418379. The next prime is 1112418389. The reversal of 1112418384 is 4838142111.

It is an interprime number because it is at equal distance from previous prime (1112418379) and next prime (1112418389).

It is a super-2 number, since 2×11124183842 = 2474949322122342912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112418389) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15238572 + ... + 15238644.

It is an arithmetic number, because the mean of its divisors is an integer number (8368512).

Almost surely, 21112418384 is an apocalyptic number.

1112418384 is a gapful number since it is divisible by the number (14) 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 1112418384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008442880).

1112418384 is an abundant number, since it is smaller than the sum of its proper divisors (2904467376).

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

1112418384 is a wasteful number, since it uses less digits than its factorization.

1112418384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 146 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 1112418384 is about 33352.9366623091. The cubic root of 1112418384 is about 1036.1502095325.

The spelling of 1112418384 in words is "one billion, one hundred twelve million, four hundred eighteen thousand, three hundred eighty-four".