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343848640 = 2654324989
BaseRepresentation
bin10100011111101…
…011011011000000
3212222000022122211
4110133223123000
51201011124030
654041511504
711343444112
oct2437533300
9788008584
10343848640
11167103633
12971a2594
1356311345
14339493b2
15202c112a
hex147eb6c0

343848640 has 56 divisors (see below), whose sum is σ = 837864720. Its totient is φ = 134335488.

The previous prime is 343848629. The next prime is 343848649. The reversal of 343848640 is 46848343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 343848593 and 343848602.

It is not an unprimeable number, because it can be changed into a prime (343848649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1266 + ... + 26254.

It is an arithmetic number, because the mean of its divisors is an integer number (14961870).

Almost surely, 2343848640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418932360).

343848640 is an abundant number, since it is smaller than the sum of its proper divisors (494016080).

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

343848640 is a wasteful number, since it uses less digits than its factorization.

343848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25049 (or 25039 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The square root of 343848640 is about 18543.1561499115. The cubic root of 343848640 is about 700.5768306582.

The spelling of 343848640 in words is "three hundred forty-three million, eight hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 688 860 1376 1720 2752 3440 6880 13760 24989 49978 99956 124945 199912 249890 399824 499780 799648 999560 1074527 1599296 1999120 2149054 3998240 4298108 5372635 7996480 8596216 10745270 17192432 21490540 34384864 42981080 68769728 85962160 171924320 343848640