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343161144 = 23334138749
BaseRepresentation
bin10100011101000…
…011100100111000
3212220201101121000
4110131003210320
51200322124034
654015045000
711334551544
oct2435034470
9786641530
10343161144
11166784057
1296b10760
1356130441
143380aa24
15201d7599
hex14743938

343161144 has 64 divisors (see below), whose sum is σ = 976500000. Its totient is φ = 111594240.

The previous prime is 343161131. The next prime is 343161149. The reversal of 343161144 is 441161343.

343161144 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 611 + 44 = 666.

343161144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343161149) 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, 10519 + ... + 28230.

Almost surely, 2343161144 is an apocalyptic number.

It is an amenable number.

343161144 is an abundant number, since it is smaller than the sum of its proper divisors (633338856).

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

343161144 is a wasteful number, since it uses less digits than its factorization.

343161144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38805 (or 38795 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 343161144 is about 18524.6091456743. The cubic root of 343161144 is about 700.1096046061.

The spelling of 343161144 in words is "three hundred forty-three million, one hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 108 123 164 216 246 328 369 492 738 984 1107 1476 2214 2952 4428 8856 38749 77498 116247 154996 232494 309992 348741 464988 697482 929976 1046223 1394964 1588709 2092446 2789928 3177418 4184892 4766127 6354836 8369784 9532254 12709672 14298381 19064508 28596762 38129016 42895143 57193524 85790286 114387048 171580572 343161144