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341414976 = 2637534793
BaseRepresentation
bin10100010110011…
…001010001000000
3212210102200022010
4110112121101000
51144400234401
653513412520
711313656640
oct2426312100
9783380263
10341414976
111657a1141
129640a140
135596b6c6
14334b4520
151ee8eed6
hex14599440

341414976 has 112 divisors (see below), whose sum is σ = 1052072064. Its totient is φ = 95686656.

The previous prime is 341414959. The next prime is 341414977. The reversal of 341414976 is 679414143.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (341414977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68836 + ... + 73628.

Almost surely, 2341414976 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 341414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526036032).

341414976 is an abundant number, since it is smaller than the sum of its proper divisors (710657088).

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

341414976 is a wasteful number, since it uses less digits than its factorization.

341414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4858 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 341414976 is about 18477.4180014417. The cubic root of 341414976 is about 698.9200872211.

The spelling of 341414976 in words is "three hundred forty-one million, four hundred fourteen thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 2226 2544 2968 3392 4452 4793 5088 5936 8904 9586 10176 11872 14379 17808 19172 23744 28758 33551 35616 38344 57516 67102 71232 76688 100653 115032 134204 153376 201306 230064 254029 268408 306752 402612 460128 508058 536816 762087 805224 920256 1016116 1073632 1524174 1610448 1778203 2032232 2147264 3048348 3220896 3556406 4064464 5334609 6096696 6441792 7112812 8128928 10669218 12193392 14225624 16257856 21338436 24386784 28451248 42676872 48773568 56902496 85353744 113804992 170707488 341414976