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1140341400 = 2332521157593
BaseRepresentation
bin100001111111000…
…0011101010011000
32221110202100022200
41003332003222120
54313411411100
6305053250200
740154512332
oct10376035230
92843670280
101140341400
11535769410
12279a93960
13152336a33
14ab640452
156a1a3e00
hex43f83a98

1140341400 has 144 divisors (see below), whose sum is σ = 4177868760. Its totient is φ = 276441600.

The previous prime is 1140341353. The next prime is 1140341413. The reversal of 1140341400 is 41430411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8997 + ... + 48596.

Almost surely, 21140341400 is an apocalyptic number.

1140341400 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 1140341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088934380).

1140341400 is an abundant number, since it is smaller than the sum of its proper divisors (3037527360).

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

1140341400 is a wasteful number, since it uses less digits than its factorization.

1140341400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626 (or 57614 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1140341400 is about 33768.9413514845. The cubic root of 1140341400 is about 1044.7481975361.

Adding to 1140341400 its reverse (41430411), we get a palindrome (1181771811).

The spelling of 1140341400 in words is "one billion, one hundred forty million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 57593 115186 172779 230372 287965 345558 460744 518337 575930 633523 691116 863895 1036674 1151860 1267046 1382232 1439825 1727790 1900569 2073348 2303720 2534092 2591685 2879650 3167615 3455580 3801138 4146696 4319475 5068184 5183370 5701707 5759300 6335230 6911160 7602276 8638950 9502845 10366740 11403414 11518600 12670460 12958425 15204552 15838075 17277900 19005690 20733480 22806828 25340920 25916850 28508535 31676150 34555800 38011380 45613656 47514225 51833700 57017070 63352300 76022760 95028450 103667400 114034140 126704600 142542675 190056900 228068280 285085350 380113800 570170700 1140341400