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2345113540 = 2257211832621
BaseRepresentation
bin1000101111000111…
…1001011111000100
320001102202010000001
42023301321133010
514300322113130
61024411531044
7112054064500
oct21361713704
96042663001
102345113540
11aa3834570
12555459a84
132b4b0c363
14183653300
15dad336ca
hex8bc797c4

2345113540 has 144 divisors (see below), whose sum is σ = 6327284544. Its totient is φ = 721862400.

The previous prime is 2345113523. The next prime is 2345113541. The reversal of 2345113540 is 453115432.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2345113499 and 2345113508.

It is not an unprimeable number, because it can be changed into a prime (2345113541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893430 + ... + 896050.

It is an arithmetic number, because the mean of its divisors is an integer number (43939476).

Almost surely, 22345113540 is an apocalyptic number.

2345113540 is a gapful number since it is divisible by the number (20) 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 2345113540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163642272).

2345113540 is an abundant number, since it is smaller than the sum of its proper divisors (3982171004).

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

2345113540 is a wasteful number, since it uses less digits than its factorization.

2345113540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2345113540 is about 48426.3723605227. The cubic root of 2345113540 is about 1328.5807575338.

Adding to 2345113540 its reverse (453115432), we get a palindrome (2798228972).

The spelling of 2345113540 in words is "two billion, three hundred forty-five million, one hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 83 98 110 140 154 166 196 220 245 308 332 385 415 490 539 581 770 830 913 980 1078 1162 1540 1660 1826 2156 2324 2621 2695 2905 3652 4067 4565 5242 5390 5810 6391 8134 9130 10484 10780 11620 12782 13105 16268 18260 18347 20335 25564 26210 28831 31955 36694 40670 44737 52420 57662 63910 73388 81340 89474 91735 115324 127820 128429 144155 178948 183470 201817 217543 223685 256858 288310 366940 403634 435086 447370 513716 576620 642145 807268 870172 894740 1009085 1087715 1284290 1412719 1522801 2018170 2175430 2392973 2568580 2825438 3045602 4036340 4350860 4785946 5650876 6091204 7063595 7614005 9571892 10659607 11964865 14127190 15228010 16750811 21319214 23929730 28254380 30456020 33501622 42638428 47859460 53298035 67003244 83754055 106596070 117255677 167508110 213192140 234511354 335016220 469022708 586278385 1172556770 2345113540