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1340303400 = 2332521076959
BaseRepresentation
bin100111111100011…
…0110100000101000
310110102000110121200
41033320312200220
510221104202100
6340555204200
745133251042
oct11770664050
93412013550
101340303400
11628625867
12314a46660
131848a9947
14ca012a92
157ca01e00
hex4fe36828

1340303400 has 144 divisors (see below), whose sum is σ = 4543905600. Its totient is φ = 354023040.

The previous prime is 1340303389. The next prime is 1340303401. The reversal of 1340303400 is 43030431.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1340303401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 189121 + ... + 196079.

It is an arithmetic number, because the mean of its divisors is an integer number (31554900).

Almost surely, 21340303400 is an apocalyptic number.

1340303400 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 1340303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271952800).

1340303400 is an abundant number, since it is smaller than the sum of its proper divisors (3203602200).

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

1340303400 is a wasteful number, since it uses less digits than its factorization.

1340303400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1340303400 is about 36610.1543290929. The cubic root of 1340303400 is about 1102.5569717733.

Adding to 1340303400 its reverse (43030431), we get a palindrome (1383333831).

It can be divided in two parts, 1340303 and 400, that added together give a triangular number (1340703 = T1637).

The spelling of 1340303400 in words is "one billion, three hundred forty million, three hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 107 120 150 180 200 214 225 300 321 360 428 450 535 600 642 856 900 963 1070 1284 1605 1800 1926 2140 2568 2675 3210 3852 4280 4815 5350 6420 6959 7704 8025 9630 10700 12840 13918 16050 19260 20877 21400 24075 27836 32100 34795 38520 41754 48150 55672 62631 64200 69590 83508 96300 104385 125262 139180 167016 173975 192600 208770 250524 278360 313155 347950 417540 501048 521925 626310 695900 744613 835080 1043850 1252620 1391800 1489226 1565775 2087700 2233839 2505240 2978452 3131550 3723065 4175400 4467678 5956904 6263100 6701517 7446130 8935356 11169195 12526200 13403034 14892260 17870712 18615325 22338390 26806068 29784520 33507585 37230650 44676780 53612136 55845975 67015170 74461300 89353560 111691950 134030340 148922600 167537925 223383900 268060680 335075850 446767800 670151700 1340303400