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342544004040 = 23357258255783
BaseRepresentation
bin1001111110000010011…
…01101011001111001000
31012202011110222100201110
410333001031223033020
521103012231112130
6421210150450320
733514362664500
oct4770115531710
91182143870643
10342544004040
111222aa184217
12564793639a0
13263bcc797b4
1412817536a00
158d9c6b4ab0
hex4fc136b3c8

342544004040 has 96 divisors (see below), whose sum is σ = 1195408687680. Its totient is φ = 78295771008.

The previous prime is 342544004039. The next prime is 342544004059. The reversal of 342544004040 is 40400445243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 342544003989 and 342544004007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29122012 + ... + 29133771.

It is an arithmetic number, because the mean of its divisors is an integer number (12452173830).

Almost surely, 2342544004040 is an apocalyptic number.

342544004040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342544004040 is an abundant number, since it is smaller than the sum of its proper divisors (852864683640).

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

342544004040 is a wasteful number, since it uses less digits than its factorization.

342544004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58255811 (or 58255800 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 342544004040 its reverse (40400445243), we get a palindrome (382944449283).

The spelling of 342544004040 in words is "three hundred forty-two billion, five hundred forty-four million, four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 58255783 116511566 174767349 233023132 291278915 349534698 407790481 466046264 582557830 699069396 815580962 873836745 1165115660 1223371443 1398138792 1631161924 1747673490 2038952405 2330231320 2446742886 2854533367 3262323848 3495346980 4077904810 4893485772 5709066734 6116857215 6990693960 8155809620 8563600101 9786971544 11418133468 12233714430 14272666835 16311619240 17127200202 22836266936 24467428860 28545333670 34254400404 42818000505 48934857720 57090667340 68508800808 85636001010 114181334680 171272002020 342544004040