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243914000 = 24531111087
BaseRepresentation
bin11101000100111…
…01010100010000
3121222222010002212
432202131110100
5444420222000
640111531252
76021143351
oct1642352420
9558863085
10243914000
11115757220
1269829b28
133b6c1515
1424573d28
1516630c35
hexe89d510

243914000 has 80 divisors (see below), whose sum is σ = 643458816. Its totient is φ = 88688000.

The previous prime is 243913993. The next prime is 243914029. The reversal of 243914000 is 419342.

It is a tau number, because it is divible by the number of its divisors (80).

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, 16457 + ... + 27543.

Almost surely, 2243914000 is an apocalyptic number.

243914000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321729408).

243914000 is an abundant number, since it is smaller than the sum of its proper divisors (399544816).

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

243914000 is a wasteful number, since it uses less digits than its factorization.

243914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121 (or 11105 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 243914000 is about 15617.7463162903. The cubic root of 243914000 is about 624.8065534650.

The spelling of 243914000 in words is "two hundred forty-three million, nine hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 11087 22000 22174 44348 55435 88696 110870 121957 177392 221740 243914 277175 443480 487828 554350 609785 886960 975656 1108700 1219570 1385875 1951312 2217400 2439140 2771750 3048925 4434800 4878280 5543500 6097850 9756560 11087000 12195700 15244625 22174000 24391400 30489250 48782800 60978500 121957000 243914000