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1342301220 = 223451363737
BaseRepresentation
bin101000000000001…
…1110010000100100
310110112202222010000
41100000132100210
510222112114340
6341110101300
745156241431
oct12000362044
93415688100
101342301220
1162976a857
1231564a830
131851290a0
14ca3b2b88
157cc98d30
hex5001e424

1342301220 has 120 divisors (see below), whose sum is σ = 4534831224. Its totient is φ = 330407424.

The previous prime is 1342301143. The next prime is 1342301327. The reversal of 1342301220 is 221032431.

1342301220 is a `hidden beast` number, since 1 + 342 + 301 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83612736 + 1258688484 = 9144^2 + 35478^2 .

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 = 1342301193 and 1342301202.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10809 + ... + 52928.

Almost surely, 21342301220 is an apocalyptic number.

1342301220 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 1342301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267415612).

1342301220 is an abundant number, since it is smaller than the sum of its proper divisors (3192530004).

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

1342301220 is a wasteful number, since it uses less digits than its factorization.

1342301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63771 (or 63760 counting only the distinct ones).

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

The square root of 1342301220 is about 36637.4292220401. The cubic root of 1342301220 is about 1103.1045136809.

Adding to 1342301220 its reverse (221032431), we get a palindrome (1563333651).

The spelling of 1342301220 in words is "one billion, three hundred forty-two million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 63737 127474 191211 254948 318685 382422 573633 637370 764844 828581 956055 1147266 1274740 1657162 1720899 1912110 2294532 2485743 2868165 3314324 3441798 3824220 4142905 4971486 5162697 5736330 6883596 7457229 8285810 8604495 9942972 10325394 11472660 12428715 14914458 16571620 17208990 20650788 22371687 24857430 25813485 29828916 34417980 37286145 44743374 49714860 51626970 67115061 74572290 89486748 103253940 111858435 134230122 149144580 223716870 268460244 335575305 447433740 671150610 1342301220