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1342402020 = 2232553223631
BaseRepresentation
bin101000000000011…
…0110110111100100
310110112222002101100
41100000312313210
510222123331040
6341112200100
745160141341
oct12000666744
93415862340
101342402020
11629829563
12315699030
13185162c2b
14ca3db7c8
157ccb8b30
hex50036de4

1342402020 has 144 divisors (see below), whose sum is σ = 4173990912. Its totient is φ = 349090560.

The previous prime is 1342402013. The next prime is 1342402027. The reversal of 1342402020 is 202042431.

It is an interprime number because it is at equal distance from previous prime (1342402013) and next prime (1342402027).

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 = 1342401984 and 1342402002.

It is not an unprimeable number, because it can be changed into a prime (1342402027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2127105 + ... + 2127735.

It is an arithmetic number, because the mean of its divisors is an integer number (28986048).

Almost surely, 21342402020 is an apocalyptic number.

1342402020 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 1342402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086995456).

1342402020 is an abundant number, since it is smaller than the sum of its proper divisors (2831588892).

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

1342402020 is a wasteful number, since it uses less digits than its factorization.

1342402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 917 counting only the distinct ones).

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

The square root of 1342402020 is about 36638.8048385861. The cubic root of 1342402020 is about 1103.1321255040.

Adding to 1342402020 its reverse (202042431), we get a palindrome (1544444451).

The spelling of 1342402020 in words is "one billion, three hundred forty-two million, four hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 223 265 318 446 477 530 631 636 669 795 892 954 1060 1115 1262 1338 1590 1893 1908 2007 2230 2385 2524 2676 3155 3180 3345 3786 4014 4460 4770 5679 6310 6690 7572 8028 9465 9540 10035 11358 11819 12620 13380 18930 20070 22716 23638 28395 33443 35457 37860 40140 47276 56790 59095 66886 70914 100329 106371 113580 118190 133772 140713 141828 167215 177285 200658 212742 236380 281426 300987 334430 354570 401316 422139 425484 501645 531855 562852 601974 668860 703565 709140 844278 1003290 1063710 1203948 1266417 1407130 1504935 1688556 2006580 2110695 2127420 2532834 2814260 3009870 4221390 5065668 6019740 6332085 7457789 8442780 12664170 14915578 22373367 25328340 29831156 37288945 44746734 67120101 74577890 89493468 111866835 134240202 149155780 223733670 268480404 335600505 447467340 671201010 1342402020