Search a number
-
+
745388676 = 223331251887
BaseRepresentation
bin101100011011011…
…011101010000100
31220221120200001000
4230123123222010
53011304414201
6201544133300
724320461554
oct5433335204
91827520030
10745388676
113528305aa
12189767230
13bb5718b6
1470dd1164
154568ad86
hex2c6dba84

745388676 has 96 divisors (see below), whose sum is σ = 2005032960. Its totient is φ = 239220000.

The previous prime is 745388629. The next prime is 745388687. The reversal of 745388676 is 676883547.

745388676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 839905 + ... + 840791.

It is an arithmetic number, because the mean of its divisors is an integer number (20885760).

Almost surely, 2745388676 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 745388676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002516480).

745388676 is an abundant number, since it is smaller than the sum of its proper divisors (1259644284).

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

745388676 is a wasteful number, since it uses less digits than its factorization.

745388676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1174 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 745388676 is about 27301.8071929314. The cubic root of 745388676 is about 906.6943933154.

The spelling of 745388676 in words is "seven hundred forty-five million, three hundred eighty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 251 279 372 502 558 753 837 887 1004 1116 1506 1674 1774 2259 2661 3012 3348 3548 4518 5322 6777 7781 7983 9036 10644 13554 15562 15966 23343 23949 27108 27497 31124 31932 46686 47898 54994 70029 82491 93372 95796 109988 140058 164982 210087 222637 247473 280116 329964 420174 445274 494946 667911 742419 840348 890548 989892 1335822 1484838 2003733 2671644 2969676 4007466 6011199 6901747 8014932 12022398 13803494 20705241 24044796 27606988 41410482 62115723 82820964 124231446 186347169 248462892 372694338 745388676