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1343085920 = 255112333179
BaseRepresentation
bin101000000001101…
…1101110101100000
310110121020211111222
41100003131311200
510222312222140
6341134554212
745166020251
oct12003356540
93417224458
101343085920
1162a156370
12315968968
131853422c7
14ca538b28
157cda15b5
hex500ddd60

1343085920 has 96 divisors (see below), whose sum is σ = 3612107520. Its totient is φ = 467146240.

The previous prime is 1343085911. The next prime is 1343085941. The reversal of 1343085920 is 295803431.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23891 + ... + 57069.

It is an arithmetic number, because the mean of its divisors is an integer number (37626120).

Almost surely, 21343085920 is an apocalyptic number.

1343085920 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 1343085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806053760).

1343085920 is an abundant number, since it is smaller than the sum of its proper divisors (2269021600).

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

1343085920 is a wasteful number, since it uses less digits than its factorization.

1343085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33228 (or 33220 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1343085920 is about 36648.1366511314. The cubic root of 1343085920 is about 1103.3194275611.

The spelling of 1343085920 in words is "one billion, three hundred forty-three million, eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3680 4048 5060 8096 10120 20240 33179 40480 66358 132716 165895 265432 331790 364969 530864 663580 729938 763117 1061728 1327160 1459876 1526234 1824845 2654320 2919752 3052468 3649690 3815585 5308640 5839504 6104936 7299380 7631170 8394287 11679008 12209872 14598760 15262340 16788574 24419744 29197520 30524680 33577148 41971435 58395040 61049360 67154296 83942870 122098720 134308592 167885740 268617184 335771480 671542960 1343085920