Search a number
-
+
464326380 = 223257368513
BaseRepresentation
bin11011101011010…
…000111011101100
31012100201020001100
4123223100323230
51422331421010
6114024043100
714335465140
oct3353207354
91170636040
10464326380
11219111311
1210b603490
137527484b
144594b220
152ab6d2c0
hex1bad0eec

464326380 has 72 divisors (see below), whose sum is σ = 1609669152. Its totient is φ = 106131456.

The previous prime is 464326333. The next prime is 464326381. The reversal of 464326380 is 83623464.

It is a happy number.

464326380 is a `hidden beast` number, since 4 + 643 + 2 + 6 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (464326381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182997 + ... + 185516.

It is an arithmetic number, because the mean of its divisors is an integer number (22356516).

Almost surely, 2464326380 is an apocalyptic number.

It is an amenable number.

464326380 is an abundant number, since it is smaller than the sum of its proper divisors (1145342772).

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

464326380 is a wasteful number, since it uses less digits than its factorization.

464326380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368535 (or 368530 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 464326380 is about 21548.2338023328. The cubic root of 464326380 is about 774.3568052250.

The spelling of 464326380 in words is "four hundred sixty-four million, three hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 368513 737026 1105539 1474052 1842565 2211078 2579591 3316617 3685130 4422156 5159182 5527695 6633234 7370260 7738773 10318364 11055390 12897955 13266468 15477546 16583085 22110780 23216319 25795910 30955092 33166170 38693865 46432638 51591820 66332340 77387730 92865276 116081595 154775460 232163190 464326380