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344141104 = 241071791123
BaseRepresentation
bin10100100000110…
…010110100110000
3212222120011211211
4110200302310300
51201100003404
654052045504
711346102556
oct2440626460
9788504754
10344141104
1116729333a
1297303894
13563b44b8
14339c3bd6
152032cb04
hex14832d30

344141104 has 40 divisors (see below), whose sum is σ = 677367360. Its totient is φ = 169359168.

The previous prime is 344141101. The next prime is 344141117. The reversal of 344141104 is 401141443.

It is a super-3 number, since 3×3441411043 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (344141101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305887 + ... + 307009.

It is an arithmetic number, because the mean of its divisors is an integer number (16934184).

Almost surely, 2344141104 is an apocalyptic number.

It is an amenable number.

344141104 is a deficient number, since it is larger than the sum of its proper divisors (333226256).

344141104 is a wasteful number, since it uses less digits than its factorization.

344141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 344141104 is about 18551.0405099013. The cubic root of 344141104 is about 700.7754019813.

Adding to 344141104 its reverse (401141443), we get a palindrome (745282547).

The spelling of 344141104 in words is "three hundred forty-four million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 107 179 214 358 428 716 856 1123 1432 1712 2246 2864 4492 8984 17968 19153 38306 76612 120161 153224 201017 240322 306448 402034 480644 804068 961288 1608136 1922576 3216272 21508819 43017638 86035276 172070552 344141104