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343423040 = 2655320249
BaseRepresentation
bin10100011110000…
…011100001000000
3212221012200211212
4110132003201000
51200404014130
654024425252
711340022232
oct2436034100
9787180755
10343423040
111669428a4
1297018228
13561c26cc
1433878252
1520239e95
hex14783840

343423040 has 56 divisors (see below), whose sum is σ = 833247000. Its totient is φ = 134770688.

The previous prime is 343423021. The next prime is 343423049. The reversal of 343423040 is 40324343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 36192256 + 307230784 = 6016^2 + 17528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 343422997 and 343423015.

It is not an unprimeable number, because it can be changed into a prime (343423049) 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, 6836 + ... + 27084.

Almost surely, 2343423040 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 343423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416623500).

343423040 is an abundant number, since it is smaller than the sum of its proper divisors (489823960).

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

343423040 is a wasteful number, since it uses less digits than its factorization.

343423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20319 (or 20309 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 343423040 is about 18531.6766645655. The cubic root of 343423040 is about 700.2876640816.

Adding to 343423040 its reverse (40324343), we get a palindrome (383747383).

The spelling of 343423040 in words is "three hundred forty-three million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 160 212 265 320 424 530 848 1060 1696 2120 3392 4240 8480 16960 20249 40498 80996 101245 161992 202490 323984 404980 647968 809960 1073197 1295936 1619920 2146394 3239840 4292788 5365985 6479680 8585576 10731970 17171152 21463940 34342304 42927880 68684608 85855760 171711520 343423040