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1340773344 = 253310714503
BaseRepresentation
bin100111111101010…
…1001001111100000
310110102220100021000
41033322221033200
510221214221334
6341013232000
745140246121
oct11772511740
93412810230
101340773344
11628916949
12315032600
13184a12811
14ca0d6048
157ca96299
hex4fea93e0

1340773344 has 96 divisors (see below), whose sum is σ = 3947408640. Its totient is φ = 442717056.

The previous prime is 1340773319. The next prime is 1340773367. The reversal of 1340773344 is 4433770431.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1340773299 and 1340773308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85197 + ... + 99699.

It is an arithmetic number, because the mean of its divisors is an integer number (41118840).

Almost surely, 21340773344 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 1340773344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973704320).

1340773344 is an abundant number, since it is smaller than the sum of its proper divisors (2606635296).

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

1340773344 is a wasteful number, since it uses less digits than its factorization.

1340773344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14629 (or 14615 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 1340773344 is about 36616.5719859192. The cubic root of 1340773344 is about 1102.6858180946.

The spelling of 1340773344 in words is "one billion, three hundred forty million, seven hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 107 108 144 214 216 288 321 428 432 642 856 864 963 1284 1712 1926 2568 2889 3424 3852 5136 5778 7704 10272 11556 14503 15408 23112 29006 30816 43509 46224 58012 87018 92448 116024 130527 174036 232048 261054 348072 391581 464096 522108 696144 783162 1044216 1392288 1551821 1566324 2088432 3103642 3132648 4176864 4655463 6207284 6265296 9310926 12414568 12530592 13966389 18621852 24829136 27932778 37243704 41899167 49658272 55865556 74487408 83798334 111731112 148974816 167596668 223462224 335193336 446924448 670386672 1340773344