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64304361 = 312112
BaseRepresentation
bin1111010101001…
…1010011101001
311111000000000000
43311103103221
5112430214421
610214133213
71410402162
oct365232351
9144000000
1064304361
1133330900
1219651209
1310426224
14877c769
1559a3226
hex3d534e9

64304361 has 39 divisors (see below), whose sum is σ = 106022413. Its totient is φ = 38972340.

The previous prime is 64304347. The next prime is 64304381. The reversal of 64304361 is 16340346.

The square root of 64304361 is 8019.

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

It is not a de Polignac number, because 64304361 - 25 = 64304329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 3.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (64304311) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 5845846 + ... + 5845856.

Almost surely, 264304361 is an apocalyptic number.

64304361 is the 8019-th square number.

64304361 is the 4010-th centered octagonal number.

It is an amenable number.

64304361 is a deficient number, since it is larger than the sum of its proper divisors (41718052).

64304361 is an frugal number, since it uses more digits than its factorization.

64304361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The cubic root of 64304361 is about 400.6330829031.

Multiplying 64304361 by its product of nonzero digits (5184), we get a square (333353807424 = 5773682).

The spelling of 64304361 in words is "sixty-four million, three hundred four thousand, three hundred sixty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 297 363 729 891 1089 2187 2673 3267 6561 8019 9801 19683 24057 29403 59049 72171 88209 177147 216513 264627 531441 649539 793881 1948617 2381643 5845851 7144929 21434787 64304361