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340105344 = 2731316761
BaseRepresentation
bin10100010001011…
…001100010000000
3212200222010211020
4110101121202000
51144031332334
653425345440
711266563525
oct2421314200
9780863736
10340105344
11164a871a7
1295a98280
1355600587
143325314c
151ecd1e49
hex14459880

340105344 has 64 divisors (see below), whose sum is σ = 910435680. Its totient is φ = 112486400.

The previous prime is 340105327. The next prime is 340105351. The reversal of 340105344 is 443501043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46924 + ... + 53684.

Almost surely, 2340105344 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 340105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455217840).

340105344 is an abundant number, since it is smaller than the sum of its proper divisors (570330336).

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

340105344 is a wasteful number, since it uses less digits than its factorization.

340105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6909 (or 6897 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 340105344 is about 18441.9452336244. The cubic root of 340105344 is about 698.0252807596.

Adding to 340105344 its reverse (443501043), we get a palindrome (783606387).

The spelling of 340105344 in words is "three hundred forty million, one hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 6761 8384 12576 13522 16768 20283 25152 27044 40566 50304 54088 81132 108176 162264 216352 324528 432704 649056 865408 885691 1298112 1771382 2596224 2657073 3542764 5314146 7085528 10628292 14171056 21256584 28342112 42513168 56684224 85026336 113368448 170052672 340105344