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1342453440 = 26352395851
BaseRepresentation
bin101000000000100…
…0011011011000000
310110120001200220210
41100001003123000
510222132002230
6341113234120
745160444266
oct12001033300
93416050823
101342453440
11629864159
12315702940
13185180463
14ca412436
157ccc8eb0
hex500436c0

1342453440 has 112 divisors (see below), whose sum is σ = 4280855040. Its totient is φ = 356428800.

The previous prime is 1342453439. The next prime is 1342453451. The reversal of 1342453440 is 443542431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1342453398 and 1342453407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226515 + ... + 232365.

It is an arithmetic number, because the mean of its divisors is an integer number (38221920).

Almost surely, 21342453440 is an apocalyptic number.

1342453440 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 1342453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140427520).

1342453440 is an abundant number, since it is smaller than the sum of its proper divisors (2938401600).

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

1342453440 is a wasteful number, since it uses less digits than its factorization.

1342453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6110 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 1342453440 is about 36639.5065468955. The cubic root of 1342453440 is about 1103.1462102886.

Adding to 1342453440 its reverse (443542431), we get a palindrome (1785995871).

The spelling of 1342453440 in words is "one billion, three hundred forty-two million, four hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 239 240 320 478 480 717 956 960 1195 1434 1912 2390 2868 3585 3824 4780 5736 5851 7170 7648 9560 11472 11702 14340 15296 17553 19120 22944 23404 28680 29255 35106 38240 45888 46808 57360 58510 70212 76480 87765 93616 114720 117020 140424 175530 187232 229440 234040 280848 351060 374464 468080 561696 702120 936160 1123392 1398389 1404240 1872320 2796778 2808480 4195167 5593556 5616960 6991945 8390334 11187112 13983890 16780668 20975835 22374224 27967780 33561336 41951670 44748448 55935560 67122672 83903340 89496896 111871120 134245344 167806680 223742240 268490688 335613360 447484480 671226720 1342453440