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343040100 = 223521387959
BaseRepresentation
bin10100011100100…
…110000001100100
3212220111020112220
4110130212001210
51200304240400
654012312340
711333535624
oct2434460144
9786436486
10343040100
11166701117
1296a726b0
13560ba310
14337b8884
15201b17a0
hex14726064

343040100 has 72 divisors (see below), whose sum is σ = 1068889920. Its totient is φ = 84439680.

The previous prime is 343040099. The next prime is 343040107. The reversal of 343040100 is 1040343.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 343040100.

It is not an unprimeable number, because it can be changed into a prime (343040107) 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 23 ways as a sum of consecutive naturals, for example, 40080 + ... + 47879.

Almost surely, 2343040100 is an apocalyptic number.

343040100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343040100 is an abundant number, since it is smaller than the sum of its proper divisors (725849820).

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

343040100 is a wasteful number, since it uses less digits than its factorization.

343040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87989 (or 87982 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 343040100 is about 18521.3417440530. The cubic root of 343040100 is about 700.0272778486.

Adding to 343040100 its reverse (1040343), we get a palindrome (344080443).

The spelling of 343040100 in words is "three hundred forty-three million, forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 87959 175918 263877 351836 439795 527754 879590 1055508 1143467 1319385 1759180 2198975 2286934 2638770 3430401 4397950 4573868 5277540 5717335 6596925 6860802 8795900 11434670 13193850 13721604 17152005 22869340 26387700 28586675 34304010 57173350 68608020 85760025 114346700 171520050 343040100