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64336441 = 1326172
BaseRepresentation
bin1111010101101…
…1001000111001
311111001122000011
43311123020321
5112432231231
610214541521
71410564541
oct365331071
9144048004
1064336441
1133352a14
12196678a1
1310437a00
14878a321
1559ac9b1
hex3d5b239

64336441 has 9 divisors (see below), whose sum is σ = 69779181. Its totient is φ = 59291232.

The previous prime is 64336423. The next prime is 64336453. The reversal of 64336441 is 14463346.

It is a happy number.

The square root of 64336441 is 8021.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 45846441 + 18490000 = 6771^2 + 4300^2 .

It is not a de Polignac number, because 64336441 - 217 = 64205369 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (64336411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103965 + ... + 104581.

Almost surely, 264336441 is an apocalyptic number.

64336441 is the 8021-st square number.

64336441 is the 4011-st centered octagonal number.

It is an amenable number.

64336441 is a deficient number, since it is larger than the sum of its proper divisors (5442740).

64336441 is an frugal number, since it uses more digits than its factorization.

64336441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 630 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The cubic root of 64336441 is about 400.6996941067.

Multiplying 64336441 by its product of digits (20736), we get a square (1334080440576 = 11550242).

Adding to 64336441 its reverse (14463346), we get a palindrome (78799787).

The spelling of 64336441 in words is "sixty-four million, three hundred thirty-six thousand, four hundred forty-one".

Divisors: 1 13 169 617 8021 104273 380689 4948957 64336441