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2161924344 = 23352234987
BaseRepresentation
bin1000000011011100…
…0101100011111000
312120200001010200000
42000313011203320
513411423034334
6554305313000
7104401024266
oct20067054370
95520033600
102161924344
11a0a393838
12504035760
13285b8c998
141671a9436
15c9bea299
hex80dc58f8

2161924344 has 96 divisors (see below), whose sum is σ = 6100523520. Its totient is φ = 717266016.

The previous prime is 2161924343. The next prime is 2161924381. The reversal of 2161924344 is 4434291612.

2161924344 is a `hidden beast` number, since 2 + 1 + 619 + 2 + 4 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2161924299 and 2161924308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161924343) 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, 431019 + ... + 436005.

It is an arithmetic number, because the mean of its divisors is an integer number (63547120).

Almost surely, 22161924344 is an apocalyptic number.

2161924344 is a gapful number since it is divisible by the number (24) 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 2161924344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050261760).

2161924344 is an abundant number, since it is smaller than the sum of its proper divisors (3938599176).

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

2161924344 is a wasteful number, since it uses less digits than its factorization.

2161924344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5215 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2161924344 is about 46496.4981907240. The cubic root of 2161924344 is about 1293.0445772499.

The spelling of 2161924344 in words is "two billion, one hundred sixty-one million, nine hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 243 324 446 486 648 669 892 972 1338 1784 1944 2007 2676 4014 4987 5352 6021 8028 9974 12042 14961 16056 18063 19948 24084 29922 36126 39896 44883 48168 54189 59844 72252 89766 108378 119688 134649 144504 179532 216756 269298 359064 403947 433512 538596 807894 1077192 1112101 1211841 1615788 2224202 2423682 3231576 3336303 4448404 4847364 6672606 8896808 9694728 10008909 13345212 20017818 26690424 30026727 40035636 60053454 80071272 90080181 120106908 180160362 240213816 270240543 360320724 540481086 720641448 1080962172 2161924344