Search a number
-
+
343240100 = 22527310007
BaseRepresentation
bin10100011101010…
…110110110100100
3212220212101220022
4110131112312210
51200332140400
654020454312
711335331000
oct2435266644
9786771808
10343240100
11166828405
1296b4a398
135615a368
143382b700
1520200b85
hex14756da4

343240100 has 72 divisors (see below), whose sum is σ = 868694400. Its totient is φ = 117670560.

The previous prime is 343240097. The next prime is 343240123. The reversal of 343240100 is 1042343.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29297 + ... + 39303.

It is an arithmetic number, because the mean of its divisors is an integer number (12065200).

Almost surely, 2343240100 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 343240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434347200).

343240100 is an abundant number, since it is smaller than the sum of its proper divisors (525454300).

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

343240100 is a wasteful number, since it uses less digits than its factorization.

343240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10042 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 343240100 is about 18526.7401341952. The cubic root of 343240100 is about 700.1632952370.

Adding to 343240100 its reverse (1042343), we get a palindrome (344282443).

The spelling of 343240100 in words is "three hundred forty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 10007 17150 20014 34300 40028 50035 70049 100070 140098 200140 250175 280196 350245 490343 500350 700490 980686 1000700 1400980 1751225 1961372 2451715 3432401 3502450 4903430 6864802 7004900 9806860 12258575 13729604 17162005 24517150 34324010 49034300 68648020 85810025 171620050 343240100