Search a number
-
+
245334656 = 2771012711
BaseRepresentation
bin11101001111110…
…00001010000000
3122002122021212202
432213320022000
51000301202111
640202212332
76036211250
oct1647701200
9562567782
10245334656
11116537616
126a1b40a8
133ba9b048
1424823960
1516811b3b
hexe9f8280

245334656 has 64 divisors (see below), whose sum is σ = 564312960. Its totient is φ = 104064000.

The previous prime is 245334653. The next prime is 245334671. The reversal of 245334656 is 656433542.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (245334653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89141 + ... + 91851.

It is an arithmetic number, because the mean of its divisors is an integer number (8817390).

Almost surely, 2245334656 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 245334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282156480).

245334656 is an abundant number, since it is smaller than the sum of its proper divisors (318978304).

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

245334656 is a wasteful number, since it uses less digits than its factorization.

245334656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2833 (or 2821 counting only the distinct ones).

The product of its digits is 259200, while the sum is 38.

The square root of 245334656 is about 15663.1623882280. The cubic root of 245334656 is about 626.0172498794.

The spelling of 245334656 in words is "two hundred forty-five million, three hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 404 448 707 808 896 1414 1616 2711 2828 3232 5422 5656 6464 10844 11312 12928 18977 21688 22624 37954 43376 45248 75908 86752 90496 151816 173504 273811 303632 347008 547622 607264 1095244 1214528 1916677 2190488 2429056 3833354 4380976 7666708 8761952 15333416 17523904 30666832 35047808 61333664 122667328 245334656