Search a number
-
+
773340384 = 25331534903
BaseRepresentation
bin101110000110000…
…011110011100000
31222220011202120110
4232012003303200
53040433343014
6204423211320
725110166455
oct5606036340
91886152513
10773340384
11367592093
12196ba6b40
13c42aa47b
14749c982c
1547d5cd59
hex2e183ce0

773340384 has 96 divisors (see below), whose sum is σ = 2135476224. Its totient is φ = 244707840.

The previous prime is 773340383. The next prime is 773340389. The reversal of 773340384 is 483043377.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (773340383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155277 + ... + 160179.

It is an arithmetic number, because the mean of its divisors is an integer number (22244544).

Almost surely, 2773340384 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 773340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067738112).

773340384 is an abundant number, since it is smaller than the sum of its proper divisors (1362135840).

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

773340384 is a wasteful number, since it uses less digits than its factorization.

773340384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4992 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 39.

The square root of 773340384 is about 27808.9982559602. The cubic root of 773340384 is about 917.8891365591.

The spelling of 773340384 in words is "seven hundred seventy-three million, three hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 93 96 106 124 159 186 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 2544 2976 3286 4903 4929 5088 6572 9806 9858 13144 14709 19612 19716 26288 29418 39224 39432 52576 58836 78448 78864 117672 151993 156896 157728 235344 259859 303986 455979 470688 519718 607972 779577 911958 1039436 1215944 1559154 1823916 2078872 2431888 3118308 3647832 4157744 4863776 6236616 7295664 8055629 8315488 12473232 14591328 16111258 24166887 24946464 32222516 48333774 64445032 96667548 128890064 193335096 257780128 386670192 773340384