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343345240 = 23576411913
BaseRepresentation
bin10100011101110…
…000100001011000
3212221001202010101
4110131300201120
51200344021430
654023025144
711336246350
oct2435604130
9787052111
10343345240
1116689a3a7
1296b9b1b4
1356196184
1433857b60
1520221dca
hex14770858

343345240 has 64 divisors (see below), whose sum is σ = 884727360. Its totient is φ = 117473280.

The previous prime is 343345217. The next prime is 343345273. The reversal of 343345240 is 42543343.

343345240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3433452403 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 343345199 and 343345208.

It is a congruent number.

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, 178524 + ... + 180436.

It is an arithmetic number, because the mean of its divisors is an integer number (13823865).

Almost surely, 2343345240 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 343345240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442363680).

343345240 is an abundant number, since it is smaller than the sum of its proper divisors (541382120).

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

343345240 is a wasteful number, since it uses less digits than its factorization.

343345240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 343345240 is about 18529.5774371679. The cubic root of 343345240 is about 700.2347783899.

Adding to 343345240 its reverse (42543343), we get a palindrome (385888583).

The spelling of 343345240 in words is "three hundred forty-three million, three hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 641 1282 1913 2564 3205 3826 4487 5128 6410 7652 8974 9565 12820 13391 15304 17948 19130 22435 25640 26782 35896 38260 44870 53564 66955 76520 89740 107128 133910 179480 267820 535640 1226233 2452466 4904932 6131165 8583631 9809864 12262330 17167262 24524660 34334524 42918155 49049320 68669048 85836310 171672620 343345240