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340068768 = 25313436337
BaseRepresentation
bin10100010001010…
…000100110100000
3212200220021122120
4110101100212200
51144024200033
653424504240
711266352064
oct2421204640
9780807576
10340068768
11164a61776
1295a7b080
13555b9a30
1433243aa4
151ecc61b3
hex144509a0

340068768 has 96 divisors (see below), whose sum is σ = 983860416. Its totient is φ = 102187008.

The previous prime is 340068767. The next prime is 340068769. The reversal of 340068768 is 867860043.

It is an interprime number because it is at equal distance from previous prime (340068767) and next prime (340068769).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (340068763) 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, 50496 + ... + 56832.

It is an arithmetic number, because the mean of its divisors is an integer number (10248546).

Almost surely, 2340068768 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 340068768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491930208).

340068768 is an abundant number, since it is smaller than the sum of its proper divisors (643791648).

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

340068768 is a wasteful number, since it uses less digits than its factorization.

340068768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 340068768 is about 18440.9535545210. The cubic root of 340068768 is about 698.0002572501. Note that the first 3 decimals are identical.

The spelling of 340068768 in words is "three hundred forty million, sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 6337 6708 8944 12674 13416 17888 19011 25348 26832 38022 50696 53664 76044 82381 101392 152088 164762 202784 247143 272491 304176 329524 494286 544982 608352 659048 817473 988572 1089964 1318096 1634946 1977144 2179928 2636192 3269892 3542383 3954288 4359856 6539784 7084766 7908576 8719712 10627149 13079568 14169532 21254298 26159136 28339064 42508596 56678128 85017192 113356256 170034384 340068768