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2344106064 = 243178213499
BaseRepresentation
bin1000101110111000…
…0011100001010000
320001100211221000010
42023232003201100
514300042343224
61024334154520
7112042400316
oct21356034120
96040757003
102344106064
11aa3206643
12555052a40
132b4848911
141834700b6
15dabd4e29
hex8bb83850

2344106064 has 80 divisors (see below), whose sum is σ = 6421464000. Its totient is φ = 734300160.

The previous prime is 2344106027. The next prime is 2344106069. The reversal of 2344106064 is 4606014432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2344106069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668187 + ... + 671685.

It is an arithmetic number, because the mean of its divisors is an integer number (80268300).

Almost surely, 22344106064 is an apocalyptic number.

2344106064 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 2344106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210732000).

2344106064 is an abundant number, since it is smaller than the sum of its proper divisors (4077357936).

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

2344106064 is a wasteful number, since it uses less digits than its factorization.

2344106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2344106064 is about 48415.9691011137. The cubic root of 2344106064 is about 1328.3904746430.

The spelling of 2344106064 in words is "two billion, three hundred forty-four million, one hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 821 1642 2463 3284 3499 4926 6568 6998 9852 10497 13136 13957 13996 19704 20994 27914 27992 39408 41871 41988 55828 55984 59483 83742 83976 111656 118966 167484 167952 178449 223312 237932 334968 356898 475864 669936 713796 951728 1427592 2855184 2872679 5745358 8618037 11490716 17236074 22981432 34472148 45962864 48835543 68944296 97671086 137888592 146506629 195342172 293013258 390684344 586026516 781368688 1172053032 2344106064