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1342114020 = 22325131930187
BaseRepresentation
bin100111111111111…
…0000100011100100
310110112102110022200
41033333300203210
510222040122040
6341102054500
745154531602
oct11777604344
93415373280
101342114020
11629652145
1231557a430
13185091b10
14ca364872
157cc5d630
hex4fff08e4

1342114020 has 144 divisors (see below), whose sum is σ = 4615141440. Its totient is φ = 312968448.

The previous prime is 1342114003. The next prime is 1342114021. The reversal of 1342114020 is 204112431.

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 = 1342113984 and 1342114002.

It is not an unprimeable number, because it can be changed into a prime (1342114021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29367 + ... + 59553.

Almost surely, 21342114020 is an apocalyptic number.

1342114020 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 1342114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307570720).

1342114020 is an abundant number, since it is smaller than the sum of its proper divisors (3273027420).

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

1342114020 is a wasteful number, since it uses less digits than its factorization.

1342114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30234 (or 30229 counting only the distinct ones).

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

The square root of 1342114020 is about 36634.8743685576. The cubic root of 1342114020 is about 1103.0532309131.

Adding to 1342114020 its reverse (204112431), we get a palindrome (1546226451).

The spelling of 1342114020 in words is "one billion, three hundred forty-two million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 30187 44460 60374 90561 120748 150935 181122 271683 301870 362244 392431 452805 543366 573553 603740 784862 905610 1086732 1147106 1177293 1358415 1569724 1720659 1811220 1962155 2294212 2354586 2716830 2867765 3441318 3531879 3924310 4709172 5161977 5433660 5735530 5886465 6882636 7063758 7456189 7848620 8603295 10323954 11471060 11772930 14127516 14912378 17206590 17659395 20647908 22368567 23545860 25809885 29824756 34413180 35318790 37280945 44737134 51619770 67105701 70637580 74561890 89474268 103239540 111842835 134211402 149123780 223685670 268422804 335528505 447371340 671057010 1342114020