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342968616 = 233229831979
BaseRepresentation
bin10100011100010…
…100100100101000
3212220100121111100
4110130110210220
51200244443431
654011001400
711333120334
oct2434244450
9786317440
10342968616
11166662441
1296a39260
1356093913
143379a7c4
152019a4e6
hex14714928

342968616 has 96 divisors (see below), whose sum is σ = 972972000. Its totient is φ = 108995712.

The previous prime is 342968599. The next prime is 342968621. The reversal of 342968616 is 616869243.

342968616 is a `hidden beast` number, since 3 + 4 + 29 + 6 + 8 + 616 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 172315 + ... + 174293.

It is an arithmetic number, because the mean of its divisors is an integer number (10135125).

Almost surely, 2342968616 is an apocalyptic number.

342968616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342968616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486486000).

342968616 is an abundant number, since it is smaller than the sum of its proper divisors (630003384).

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

342968616 is a wasteful number, since it uses less digits than its factorization.

342968616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2096 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 342968616 is about 18519.4118697112. The cubic root of 342968616 is about 699.9786496889.

The spelling of 342968616 in words is "three hundred forty-two million, nine hundred sixty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 83 87 116 166 174 232 249 261 332 348 498 522 664 696 747 996 1044 1494 1979 1992 2088 2407 2988 3958 4814 5937 5976 7221 7916 9628 11874 14442 15832 17811 19256 21663 23748 28884 35622 43326 47496 57391 57768 71244 86652 114782 142488 164257 172173 173304 229564 328514 344346 459128 492771 516519 657028 688692 985542 1033038 1314056 1377384 1478313 1971084 2066076 2956626 3942168 4132152 4763453 5913252 9526906 11826504 14290359 19053812 28580718 38107624 42871077 57161436 85742154 114322872 171484308 342968616