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1344793716 = 2232723673463
BaseRepresentation
bin101000000100111…
…1110110001110100
310110201110121011200
41100021332301310
510223231344331
6341235332500
745216362250
oct12011766164
93421417150
101344793716
11630112472
12316451130
131857bc736
14ca861260
157d0dc5e6
hex5027ec74

1344793716 has 144 divisors (see below), whose sum is σ = 4115564544. Its totient is φ = 361931328.

The previous prime is 1344793711. The next prime is 1344793717. The reversal of 1344793716 is 6173974431.

1344793716 is a `hidden beast` number, since 134 + 479 + 37 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344793711) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 386601 + ... + 390063.

Almost surely, 21344793716 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 1344793716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057782272).

1344793716 is an abundant number, since it is smaller than the sum of its proper divisors (2770770828).

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

1344793716 is a wasteful number, since it uses less digits than its factorization.

1344793716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570 (or 3565 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 1344793716 is about 36671.4291513162. The cubic root of 1344793716 is about 1103.7868700893.

The spelling of 1344793716 in words is "one billion, three hundred forty-four million, seven hundred ninety-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 67 69 84 92 126 134 138 161 201 207 252 268 276 322 402 414 469 483 603 644 804 828 938 966 1206 1407 1449 1541 1876 1932 2412 2814 2898 3082 3463 4221 4623 5628 5796 6164 6926 8442 9246 10389 10787 13852 13869 16884 18492 20778 21574 24241 27738 31167 32361 41556 43148 48482 55476 62334 64722 72723 79649 96964 97083 124668 129444 145446 159298 194166 218169 232021 238947 290892 318596 388332 436338 464042 477894 557543 696063 716841 872676 928084 955788 1115086 1392126 1433682 1624147 1672629 2088189 2230172 2784252 2867364 3248294 3345258 4176378 4872441 5017887 5336483 6496588 6690516 8352756 9744882 10035774 10672966 14617323 16009449 19489764 20071548 21345932 29234646 32018898 37355381 48028347 58469292 64037796 74710762 96056694 112066143 149421524 192113388 224132286 336198429 448264572 672396858 1344793716