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2014000344 = 2332197141991
BaseRepresentation
bin111100000001011…
…0011010011011000
312012100200211002100
41320002303103120
513111041002334
6531503003400
7100623502056
oct17002632330
95170624070
102014000344
1194393a2a4
12482599560
132613399a5
141516a11d6
15bbc2ac99
hex780b34d8

2014000344 has 48 divisors (see below), whose sum is σ = 5482311120. Its totient is φ = 667920960.

The previous prime is 2014000333. The next prime is 2014000349. The reversal of 2014000344 is 4430004102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014000349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56812 + ... + 85179.

It is an arithmetic number, because the mean of its divisors is an integer number (114214815).

Almost surely, 22014000344 is an apocalyptic number.

2014000344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2014000344 is an abundant number, since it is smaller than the sum of its proper divisors (3468310776).

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

2014000344 is a wasteful number, since it uses less digits than its factorization.

2014000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142200 (or 142193 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2014000344 is about 44877.6151772796. The cubic root of 2014000344 is about 1262.8541045604.

Adding to 2014000344 its reverse (4430004102), we get a palindrome (6444004446).

The spelling of 2014000344 in words is "two billion, fourteen million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 141991 283982 425973 567964 851946 1135928 1277919 1703892 2555838 3407784 5111676 10223352 27972227 55944454 83916681 111888908 167833362 223777816 251750043 335666724 503500086 671333448 1007000172 2014000344