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1342040040 = 2332511230809
BaseRepresentation
bin100111111111101…
…1110011111101000
310110112021200211200
41033333132133220
510222030240130
6341100324200
745154103115
oct11777363750
93415250750
101342040040
11629601600
12315543660
13185067243
14ca34590c
157cc46760
hex4ffde7e8

1342040040 has 144 divisors (see below), whose sum is σ = 4794344100. Its totient is φ = 325332480.

The previous prime is 1342040039. The next prime is 1342040101. The reversal of 1342040040 is 400402431.

It can be written as a sum of positive squares in 2 ways, for example, as 1322485956 + 19554084 = 36366^2 + 4422^2 .

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 = 1342039995 and 1342040022.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28156 + ... + 58964.

Almost surely, 21342040040 is an apocalyptic number.

1342040040 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 1342040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397172050).

1342040040 is an abundant number, since it is smaller than the sum of its proper divisors (3452304060).

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

1342040040 is a wasteful number, since it uses less digits than its factorization.

1342040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30848 (or 30830 counting only the distinct ones).

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

The square root of 1342040040 is about 36633.8646609937. The cubic root of 1342040040 is about 1103.0329630431.

Adding to 1342040040 its reverse (400402431), we get a palindrome (1742442471).

The spelling of 1342040040 in words is "one billion, three hundred forty-two million, forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 30809 43560 61618 92427 123236 154045 184854 246472 277281 308090 338899 369708 462135 554562 616180 677798 739416 924270 1016697 1109124 1232360 1355596 1386405 1694495 1848540 2033394 2218248 2711192 2772810 3050091 3388990 3697080 3727889 4066788 5083485 5545620 6100182 6777980 7455778 8133576 10166970 11091240 11183667 12200364 13555960 14911556 15250455 18639445 20333940 22367334 24400728 29823112 30500910 33551001 37278890 40667880 44734668 55918335 61001820 67102002 74557780 89469336 111836670 122003640 134204004 149115560 167755005 223673340 268408008 335510010 447346680 671020020 1342040040