Search a number
-
+
243407100 = 223521942703
BaseRepresentation
bin11101000001000…
…01100011111100
3121222000100202210
432200201203330
5444303011400
640053020420
76013632456
oct1640414374
9558010683
10243407100
111154403a2
1269624710
133b574891
14244812d6
1516580950
hexe8218fc

243407100 has 72 divisors (see below), whose sum is σ = 741341440. Its totient is φ = 61490880.

The previous prime is 243407089. The next prime is 243407107. The reversal of 243407100 is 1704342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243407107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15652 + ... + 27051.

Almost surely, 2243407100 is an apocalyptic number.

243407100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243407100 is an abundant number, since it is smaller than the sum of its proper divisors (497934340).

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

243407100 is a wasteful number, since it uses less digits than its factorization.

243407100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42739 (or 42732 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 243407100 is about 15601.5095423488. The cubic root of 243407100 is about 624.3734307341.

The spelling of 243407100 in words is "two hundred forty-three million, four hundred seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 42703 85406 128109 170812 213515 256218 427030 512436 640545 811357 854060 1067575 1281090 1622714 2135150 2434071 2562180 3202725 3245428 4056785 4270300 4868142 6405450 8113570 9736284 12170355 12810900 16227140 20283925 24340710 40567850 48681420 60851775 81135700 121703550 243407100