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2344534016 = 2141113009
BaseRepresentation
bin1000101110111110…
…1100000000000000
320001101122200001012
42023233230000000
514300200042031
61024351300052
7112046132066
oct21357540000
96041580035
102344534016
11aa3479120
1255521a628
132b4968646
14183542036
15dac6bb2b
hex8bbec000

2344534016 has 60 divisors (see below), whose sum is σ = 5115584040. Its totient is φ = 1065615360.

The previous prime is 2344534001. The next prime is 2344534033. The reversal of 2344534016 is 6104354432.

It is a super-3 number, since 3×23445340163 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173720 + ... + 186728.

It is an arithmetic number, because the mean of its divisors is an integer number (85259734).

Almost surely, 22344534016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2344534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557792020).

2344534016 is an abundant number, since it is smaller than the sum of its proper divisors (2771050024).

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

2344534016 is an equidigital number, since it uses as much as digits as its factorization.

2344534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13022 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2344534016 is about 48420.3884329731. The cubic root of 2344534016 is about 1328.4713089785.

Adding to 2344534016 its reverse (6104354432), we get a palindrome (8448888448).

The spelling of 2344534016 in words is "two billion, three hundred forty-four million, five hundred thirty-four thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 13009 16384 22528 26018 45056 52036 90112 104072 143099 180224 208144 286198 416288 572396 832576 1144792 1665152 2289584 3330304 4579168 6660608 9158336 13321216 18316672 26642432 36633344 53284864 73266688 106569728 146533376 213139456 293066752 586133504 1172267008 2344534016