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1042200324 = 223311899857
BaseRepresentation
bin111110000111101…
…011011100000100
32200122002021002000
4332013223130010
54113300402244
6251225545300
734553361624
oct7607533404
92618067060
101042200324
11495327590
12251045230
13137bc43a9
149c5b4884
156176a169
hex3e1eb704

1042200324 has 96 divisors (see below), whose sum is σ = 2981059200. Its totient is φ = 312238080.

The previous prime is 1042200319. The next prime is 1042200359. The reversal of 1042200324 is 4230022401.

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 = 1042200297 and 1042200306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100804 + ... + 110660.

It is an arithmetic number, because the mean of its divisors is an integer number (31052700).

Almost surely, 21042200324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042200324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490529600).

1042200324 is an abundant number, since it is smaller than the sum of its proper divisors (1938858876).

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

1042200324 is a wasteful number, since it uses less digits than its factorization.

1042200324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1042200324 is about 32283.1275436566. The cubic root of 1042200324 is about 1013.8734129991.

Adding to 1042200324 its reverse (4230022401), we get a palindrome (5272222725).

The spelling of 1042200324 in words is "one billion, forty-two million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 89 99 108 132 178 198 267 297 356 396 534 594 801 979 1068 1188 1602 1958 2403 2937 3204 3916 4806 5874 8811 9612 9857 11748 17622 19714 26433 29571 35244 39428 52866 59142 88713 105732 108427 118284 177426 216854 266139 325281 354852 433708 532278 650562 877273 975843 1064556 1301124 1754546 1951686 2631819 2927529 3509092 3903372 5263638 5855058 7895457 9650003 10527276 11710116 15790914 19300006 23686371 28950009 31581828 38600012 47372742 57900018 86850027 94745484 115800036 173700054 260550081 347400108 521100162 1042200324