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344332123424 = 2523479954097
BaseRepresentation
bin1010000001010111100…
…10110011110100100000
31012220210002122020101022
411000223302303310200
521120143010422144
6422103424225012
733606604520522
oct5005362636440
91186702566338
10344332123424
11123037563833
125689816b168
1326616569cc3
1412946bd9a12
158e54672cee
hex502bcb3d20

344332123424 has 48 divisors (see below), whose sum is σ = 722428616448. Its totient is φ = 161176722432.

The previous prime is 344332123423. The next prime is 344332123439. The reversal of 344332123424 is 424321233443.

It is a super-2 number, since 2×3443321234242 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (344332123423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4942457 + ... + 5011640.

It is an arithmetic number, because the mean of its divisors is an integer number (15050596176).

Almost surely, 2344332123424 is an apocalyptic number.

It is an amenable number.

344332123424 is an abundant number, since it is smaller than the sum of its proper divisors (378096493024).

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

344332123424 is a wasteful number, since it uses less digits than its factorization.

344332123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954177 (or 9954169 counting only the distinct ones).

The product of its digits is 165888, while the sum is 35.

Adding to 344332123424 its reverse (424321233443), we get a palindrome (768653356867).

The spelling of 344332123424 in words is "three hundred forty-four billion, three hundred thirty-two million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 32 46 47 92 94 184 188 368 376 736 752 1081 1504 2162 4324 8648 17296 34592 9954097 19908194 39816388 79632776 159265552 228944231 318531104 457888462 467842559 915776924 935685118 1831553848 1871370236 3663107696 3742740472 7326215392 7485480944 10760378857 14970961888 21520757714 43041515428 86083030856 172166061712 344332123424