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1031340420 = 2232511618539
BaseRepresentation
bin111101011110010…
…000000110000100
32122212122112002100
4331132100012010
54103010343140
6250201112100
734362151245
oct7536200604
92585575070
101031340420
1148a18a360
12249488630
13135891306
149ad88ccc
1560822530
hex3d790184

1031340420 has 144 divisors (see below), whose sum is σ = 3469152960. Its totient is φ = 245894400.

The previous prime is 1031340407. The next prime is 1031340421. The reversal of 1031340420 is 240431301.

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

It is a junction number, because it is equal to n+sod(n) for n = 1031340393 and 1031340402.

It is not an unprimeable number, because it can be changed into a prime (1031340421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116511 + ... + 125049.

It is an arithmetic number, because the mean of its divisors is an integer number (24091340).

Almost surely, 21031340420 is an apocalyptic number.

1031340420 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 1031340420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734576480).

1031340420 is an abundant number, since it is smaller than the sum of its proper divisors (2437812540).

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

1031340420 is a wasteful number, since it uses less digits than its factorization.

1031340420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8621 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1031340420 is about 32114.4892532950. The cubic root of 1031340420 is about 1010.3395322863.

Adding to 1031340420 its reverse (240431301), we get a palindrome (1271771721).

The spelling of 1031340420 in words is "one billion, thirty-one million, three hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 8539 10065 10980 12078 13420 17078 20130 24156 25617 30195 34156 40260 42695 51234 60390 76851 85390 93929 102468 120780 128085 153702 170780 187858 256170 281787 307404 375716 384255 469645 512340 520879 563574 768510 845361 939290 1041758 1127148 1408935 1537020 1562637 1690722 1878580 2083516 2604395 2817870 3125274 3381444 4226805 4687911 5208790 5635740 5729669 6250548 7813185 8453610 9375822 10417580 11459338 15626370 16907220 17189007 18751644 22918676 23439555 28648345 31252740 34378014 46879110 51567021 57296690 68756028 85945035 93758220 103134042 114593380 171890070 206268084 257835105 343780140 515670210 1031340420