Search a number
-
+
243864040 = 23573723539
BaseRepresentation
bin11101000100100…
…01000111101000
3121222212120120111
432202101013220
5444412122130
640110504104
76020544610
oct1642210750
9558776514
10243864040
11115722732
1269805034
133b6a4864
142455da40
151662102a
hexe8911e8

243864040 has 64 divisors (see below), whose sum is σ = 644054400. Its totient is φ = 81347328.

The previous prime is 243864037. The next prime is 243864053. The reversal of 243864040 is 40468342.

It is a junction number, because it is equal to n+sod(n) for n = 243863993 and 243864011.

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, 1410 + ... + 22129.

It is an arithmetic number, because the mean of its divisors is an integer number (10063350).

Almost surely, 2243864040 is an apocalyptic number.

243864040 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 243864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322027200).

243864040 is an abundant number, since it is smaller than the sum of its proper divisors (400190360).

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

243864040 is a wasteful number, since it uses less digits than its factorization.

243864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23594 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 243864040 is about 15616.1467718512. The cubic root of 243864040 is about 624.7638916158.

The spelling of 243864040 in words is "two hundred forty-three million, eight hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 56 70 74 140 148 185 259 280 296 370 518 740 1036 1295 1480 2072 2590 5180 10360 23539 47078 94156 117695 164773 188312 235390 329546 470780 659092 823865 870943 941560 1318184 1647730 1741886 3295460 3483772 4354715 6096601 6590920 6967544 8709430 12193202 17418860 24386404 30483005 34837720 48772808 60966010 121932020 243864040