Search a number
-
+
1316477340 = 2233513917539
BaseRepresentation
bin100111001110111…
…1101100110011100
310101202011222102000
41032131331212130
510144004233330
6334344402300
744423605233
oct11635754634
93352158360
101316477340
11616131a02
12308a76390
1317c986b99
14c6badb1a
157a897560
hex4e77d99c

1316477340 has 96 divisors (see below), whose sum is σ = 4125408000. Its totient is φ = 348515136.

The previous prime is 1316477333. The next prime is 1316477347. The reversal of 1316477340 is 437746131.

1316477340 is a `hidden beast` number, since 1 + 3 + 1 + 647 + 7 + 3 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1316477333) and next prime (1316477347).

It is a super-2 number, since 2×13164773402 = 3466225173466951200, which contains 22 as substring.

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 = 1316477295 and 1316477304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316477347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66291 + ... + 83829.

It is an arithmetic number, because the mean of its divisors is an integer number (42973000).

Almost surely, 21316477340 is an apocalyptic number.

1316477340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316477340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062704000).

1316477340 is an abundant number, since it is smaller than the sum of its proper divisors (2808930660).

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

1316477340 is a wasteful number, since it uses less digits than its factorization.

1316477340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17696 (or 17688 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1316477340 is about 36283.2928494645. The cubic root of 1316477340 is about 1095.9846275838.

The spelling of 1316477340 in words is "one billion, three hundred sixteen million, four hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 139 180 270 278 417 540 556 695 834 1251 1390 1668 2085 2502 2780 3753 4170 5004 6255 7506 8340 12510 15012 17539 18765 25020 35078 37530 52617 70156 75060 87695 105234 157851 175390 210468 263085 315702 350780 473553 526170 631404 789255 947106 1052340 1578510 1894212 2367765 2437921 3157020 4735530 4875842 7313763 9471060 9751684 12189605 14627526 21941289 24379210 29255052 36568815 43882578 48758420 65823867 73137630 87765156 109706445 131647734 146275260 219412890 263295468 329119335 438825780 658238670 1316477340