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340201344 = 2737671889
BaseRepresentation
bin10100010001110…
…000111110000000
3212201011000111210
4110101300332000
51144042420334
653431410120
711300443440
oct2421607600
9781130453
10340201344
1116504233a
1295b23940
1355635192
143327a120
151ed005e9
hex14470f80

340201344 has 128 divisors (see below), whose sum is σ = 1048723200. Its totient is φ = 95698944.

The previous prime is 340201333. The next prime is 340201363. The reversal of 340201344 is 443102043.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 340201344.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 179152 + ... + 181040.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2340201344 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 340201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524361600).

340201344 is an abundant number, since it is smaller than the sum of its proper divisors (708521856).

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

340201344 is a wasteful number, since it uses less digits than its factorization.

340201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 340201344 is about 18444.5478122940. The cubic root of 340201344 is about 698.0909507295.

Adding to 340201344 its reverse (443102043), we get a palindrome (783303387).

The spelling of 340201344 in words is "three hundred forty million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 192 201 224 268 336 384 402 448 469 536 672 804 896 938 1072 1344 1407 1608 1876 1889 2144 2688 2814 3216 3752 3778 4288 5628 5667 6432 7504 7556 8576 11256 11334 12864 13223 15008 15112 22512 22668 25728 26446 30016 30224 39669 45024 45336 52892 60032 60448 79338 90048 90672 105784 120896 126563 158676 180096 181344 211568 241792 253126 317352 362688 379689 423136 506252 634704 725376 759378 846272 885941 1012504 1269408 1518756 1692544 1771882 2025008 2538816 2657823 3037512 3543764 4050016 5077632 5315646 6075024 7087528 8100032 10631292 12150048 14175056 16200064 21262584 24300096 28350112 42525168 48600192 56700224 85050336 113400448 170100672 340201344