Search a number
-
+
243726464 = 2731239257
BaseRepresentation
bin11101000011011…
…11100010000000
3121222121120212002
432201233202000
5444343221324
640103523132
76016432532
oct1641574200
9558546762
10243726464
11115639333
12697594a8
133b657057
1424525852
15165e53ae
hexe86f880

243726464 has 64 divisors (see below), whose sum is σ = 505267200. Its totient is φ = 116981760.

The previous prime is 243726449. The next prime is 243726481. The reversal of 243726464 is 464627342.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 948224 + ... + 948480.

It is an arithmetic number, because the mean of its divisors is an integer number (7894800).

Almost surely, 2243726464 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 243726464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252633600).

243726464 is an abundant number, since it is smaller than the sum of its proper divisors (261540736).

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

243726464 is a wasteful number, since it uses less digits than its factorization.

243726464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 243726464 is about 15611.7412225543. The cubic root of 243726464 is about 624.6463825786.

The spelling of 243726464 in words is "two hundred forty-three million, seven hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 239 248 257 478 496 514 956 992 1028 1912 1984 2056 3824 3968 4112 7409 7648 7967 8224 14818 15296 15934 16448 29636 30592 31868 32896 59272 61423 63736 118544 122846 127472 237088 245692 254944 474176 491384 509888 948352 982768 1019776 1904113 1965536 3808226 3931072 7616452 7862144 15232904 30465808 60931616 121863232 243726464