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343051040 = 2552398971
BaseRepresentation
bin10100011100101…
…000101100100000
3212220111210120002
4110130220230200
51200310113130
654012435132
711333612543
oct2434505440
9786453502
10343051040
11166709362
1296a78aa8
13560c22a7
14337bc85a
15201b4b45
hex14728b20

343051040 has 48 divisors (see below), whose sum is σ = 813939840. Its totient is φ = 136631040.

The previous prime is 343051039. The next prime is 343051043. The reversal of 343051040 is 40150343.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (343051043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33755 + ... + 42725.

It is an arithmetic number, because the mean of its divisors is an integer number (16957080).

Almost surely, 2343051040 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 343051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406969920).

343051040 is an abundant number, since it is smaller than the sum of its proper divisors (470888800).

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

343051040 is a wasteful number, since it uses less digits than its factorization.

343051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9225 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 343051040 is about 18521.6370766733. The cubic root of 343051040 is about 700.0347193664.

The spelling of 343051040 in words is "three hundred forty-three million, fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 239 478 956 1195 1912 2390 3824 4780 7648 8971 9560 17942 19120 35884 38240 44855 71768 89710 143536 179420 287072 358840 717680 1435360 2144069 4288138 8576276 10720345 17152552 21440690 34305104 42881380 68610208 85762760 171525520 343051040