Search a number
-
+
64314224 = 24132411283
BaseRepresentation
bin1111010101010…
…1101101110000
311111000111112022
43311111231300
5112431023344
610214251012
71410443012
oct365255560
9144014468
1064314224
1133338257
1219656a68
131042a870
1487821b2
1559a60ee
hex3d55b70

64314224 has 40 divisors (see below), whose sum is σ = 134855952. Its totient is φ = 29537280.

The previous prime is 64314223. The next prime is 64314227. The reversal of 64314224 is 42241346.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 64314193 and 64314202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314223) 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, 49487 + ... + 50769.

Almost surely, 264314224 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 64314224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67427976).

64314224 is an abundant number, since it is smaller than the sum of its proper divisors (70541728).

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

64314224 is a wasteful number, since it uses less digits than its factorization.

64314224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1539 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 64314224 is about 8019.6149533503. The cubic root of 64314224 is about 400.6535648841.

The spelling of 64314224 in words is "sixty-four million, three hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 241 482 964 1283 1928 2566 3133 3856 5132 6266 10264 12532 16679 20528 25064 33358 50128 66716 133432 266864 309203 618406 1236812 2473624 4019639 4947248 8039278 16078556 32157112 64314224