Search a number
-
+
1340740080 = 243353120023
BaseRepresentation
bin100111111101010…
…0001000111110000
310110102211122122000
41033322201013300
510221212140310
6341012414000
745140050131
oct11772410760
93412748560
101340740080
116288a3959
12315017300
13184a00634
14ca0c7c88
157ca8b4c0
hex4fea11f0

1340740080 has 160 divisors (see below), whose sum is σ = 4767313920. Its totient is φ = 345980160.

The previous prime is 1340740033. The next prime is 1340740087. The reversal of 1340740080 is 800470431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1340740087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56949 + ... + 76971.

It is an arithmetic number, because the mean of its divisors is an integer number (29795712).

Almost surely, 21340740080 is an apocalyptic number.

1340740080 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 1340740080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383656960).

1340740080 is an abundant number, since it is smaller than the sum of its proper divisors (3426573840).

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

1340740080 is a wasteful number, since it uses less digits than its factorization.

1340740080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20076 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1340740080 is about 36616.1177625373. The cubic root of 1340740080 is about 1102.6766989683.

The spelling of 1340740080 in words is "one billion, three hundred forty million, seven hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2160 2232 2480 2790 3348 3720 4185 4464 5580 6696 7440 8370 11160 13392 16740 20023 22320 33480 40046 60069 66960 80092 100115 120138 160184 180207 200230 240276 300345 320368 360414 400460 480552 540621 600690 620713 720828 800920 901035 961104 1081242 1201380 1241426 1441656 1601840 1802070 1862139 2162484 2402760 2482852 2703105 2883312 3103565 3604140 3724278 4324968 4805520 4965704 5406210 5586417 6207130 7208280 7448556 8649936 9310695 9931408 10812420 11172834 12414260 14416560 14897112 16759251 18621390 21624840 22345668 24828520 27932085 29794224 33518502 37242780 43249680 44691336 49657040 55864170 67037004 74485560 83796255 89382672 111728340 134074008 148971120 167592510 223456680 268148016 335185020 446913360 670370040 1340740080