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343105400 = 235211831879
BaseRepresentation
bin10100011100110…
…101111101111000
3212220121120010102
4110130311331320
51200313333100
654013534532
711334230201
oct2434657570
9786546112
10343105400
11166746190
1296aa4448
1356110c61
14337d45a8
15201c5cd5
hex14735f78

343105400 has 96 divisors (see below), whose sum is σ = 881193600. Its totient is φ = 123196800.

The previous prime is 343105387. The next prime is 343105417. The reversal of 343105400 is 4501343.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181661 + ... + 183539.

It is an arithmetic number, because the mean of its divisors is an integer number (9179100).

Almost surely, 2343105400 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 343105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440596800).

343105400 is an abundant number, since it is smaller than the sum of its proper divisors (538088200).

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

343105400 is a wasteful number, since it uses less digits than its factorization.

343105400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1980 counting only the distinct ones).

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

The square root of 343105400 is about 18523.1044914183. The cubic root of 343105400 is about 700.0716933373.

Adding to 343105400 its reverse (4501343), we get a palindrome (347606743).

The spelling of 343105400 in words is "three hundred forty-three million, one hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 166 200 220 275 332 415 440 550 664 830 913 1100 1660 1826 1879 2075 2200 3320 3652 3758 4150 4565 7304 7516 8300 9130 9395 15032 16600 18260 18790 20669 22825 36520 37580 41338 45650 46975 75160 82676 91300 93950 103345 155957 165352 182600 187900 206690 311914 375800 413380 516725 623828 779785 826760 1033450 1247656 1559570 1715527 2066900 3119140 3431054 3898925 4133800 6238280 6862108 7797850 8577635 13724216 15595700 17155270 31191400 34310540 42888175 68621080 85776350 171552700 343105400