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2114340032 = 2676177369
BaseRepresentation
bin111111000000110…
…0100010011000000
312110100111121021002
41332001210103000
513312232340112
6545445351132
7103252410440
oct17601442300
95410447232
102114340032
11995542a62
124b01084a8
1327906bc9c
14160b40120
15c594b1c2
hex7e0644c0

2114340032 has 56 divisors (see below), whose sum is σ = 4873691040. Its totient is φ = 891279360.

The previous prime is 2114339977. The next prime is 2114340037. The reversal of 2114340032 is 2300434112.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×21143400322 = 8940867541835522048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114339986 and 2114340013.

It is not an unprimeable number, because it can be changed into a prime (2114340037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11357 + ... + 66012.

Almost surely, 22114340032 is an apocalyptic number.

It is an amenable number.

2114340032 is an abundant number, since it is smaller than the sum of its proper divisors (2759351008).

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

2114340032 is an equidigital number, since it uses as much as digits as its factorization.

2114340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77449 (or 77439 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2114340032 is about 45981.9533295401. The cubic root of 2114340032 is about 1283.4874038820.

Adding to 2114340032 its reverse (2300434112), we get a palindrome (4414774144).

The spelling of 2114340032 in words is "two billion, one hundred fourteen million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 224 244 427 448 488 854 976 1708 1952 3416 3904 6832 13664 27328 77369 154738 309476 541583 618952 1083166 1237904 2166332 2475808 4332664 4719509 4951616 8665328 9439018 17330656 18878036 33036563 34661312 37756072 66073126 75512144 132146252 151024288 264292504 302048576 528585008 1057170016 2114340032