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1342240020 = 2232511798581
BaseRepresentation
bin101000000000000…
…1111010100010100
310110112122212011100
41100000033110110
510222103140040
6341104510100
745155565132
oct12000172424
93415585140
101342240020
11629728880
1231561b330
13185107284
14ca398752
157cc85b30
hex5000f514

1342240020 has 144 divisors (see below), whose sum is σ = 4498341120. Its totient is φ = 321235200.

The previous prime is 1342240007. The next prime is 1342240027. The reversal of 1342240020 is 200422431.

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 = 1342239975 and 1342240002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342240027) 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, 152130 + ... + 160710.

It is an arithmetic number, because the mean of its divisors is an integer number (31238480).

Almost surely, 21342240020 is an apocalyptic number.

1342240020 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 1342240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249170560).

1342240020 is an abundant number, since it is smaller than the sum of its proper divisors (3156101100).

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

1342240020 is a wasteful number, since it uses less digits than its factorization.

1342240020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8686 (or 8681 counting only the distinct ones).

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

The square root of 1342240020 is about 36636.5940010804. The cubic root of 1342240020 is about 1103.0877486852.

Adding to 1342240020 its reverse (200422431), we get a palindrome (1542662451).

The spelling of 1342240020 in words is "one billion, three hundred forty-two million, two hundred forty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 316 330 395 396 474 495 660 711 790 869 948 990 1185 1422 1580 1738 1980 2370 2607 2844 3476 3555 4345 4740 5214 7110 7821 8581 8690 10428 13035 14220 15642 17162 17380 25743 26070 31284 34324 39105 42905 51486 52140 77229 78210 85810 94391 102972 128715 154458 156420 171620 188782 257430 283173 308916 377564 386145 471955 514860 566346 677899 772290 849519 943910 1132692 1355798 1415865 1544580 1699038 1887820 2033697 2711596 2831730 3389495 3398076 4067394 4247595 5663460 6101091 6778990 7456889 8134788 8495190 10168485 12202182 13557980 14913778 16990380 20336970 22370667 24404364 29827556 30505455 37284445 40673940 44741334 61010910 67112001 74568890 89482668 111853335 122021820 134224002 149137780 223706670 268448004 335560005 447413340 671120010 1342240020