Search a number
-
+
64451340 = 223252912347
BaseRepresentation
bin1111010111011…
…1001100001100
311111021110121200
43311313030030
5112444420330
610221225500
71411553532
oct365671414
9144243550
1064451340
1133421278
1219702290
13104780b5
1487ba152
1559d1a60
hex3d7730c

64451340 has 72 divisors (see below), whose sum is σ = 202260240. Its totient is φ = 16593024.

The previous prime is 64451333. The next prime is 64451351. The reversal of 64451340 is 4315446.

64451340 is a `hidden beast` number, since 644 + 5 + 13 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 954 + ... + 11393.

It is an arithmetic number, because the mean of its divisors is an integer number (2809170).

Almost surely, 264451340 is an apocalyptic number.

64451340 is a gapful number since it is divisible by the number (60) 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 64451340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101130120).

64451340 is an abundant number, since it is smaller than the sum of its proper divisors (137808900).

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

64451340 is a wasteful number, since it uses less digits than its factorization.

64451340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391 (or 12386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 64451340 is about 8028.1591912468. The cubic root of 64451340 is about 400.9380899151.

Adding to 64451340 its reverse (4315446), we get a palindrome (68766786).

It can be divided in two parts, 644 and 51340, that added together give a square (51984 = 2282).

The spelling of 64451340 in words is "sixty-four million, four hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 12347 24694 37041 49388 61735 74082 111123 123470 148164 185205 222246 246940 358063 370410 444492 555615 716126 740820 1074189 1111230 1432252 1790315 2148378 2222460 3222567 3580630 4296756 5370945 6445134 7161260 10741890 12890268 16112835 21483780 32225670 64451340