Search a number
-
+
745440384 = 27313314817
BaseRepresentation
bin101100011011101…
…000010010000000
31220221200021222010
4230123220102000
53011313043014
6201545212520
724321065403
oct5433502200
91827607863
10745440384
11352866437
12189791140
13bb58c2b0
1471005d3a
154569b359
hex2c6e8480

745440384 has 128 divisors (see below), whose sum is σ = 2201633280. Its totient is φ = 221921280.

The previous prime is 745440383. The next prime is 745440401. The reversal of 745440384 is 483044547.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (745440383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152344 + ... + 157160.

It is an arithmetic number, because the mean of its divisors is an integer number (17200260).

Almost surely, 2745440384 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 745440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100816640).

745440384 is an abundant number, since it is smaller than the sum of its proper divisors (1456192896).

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

745440384 is a wasteful number, since it uses less digits than its factorization.

745440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4878 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 745440384 is about 27302.7541467889. The cubic root of 745440384 is about 906.7153587844.

The spelling of 745440384 in words is "seven hundred forty-five million, four hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 372 384 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1664 1984 2418 2496 2976 3224 3968 4817 4836 4992 5952 6448 9634 9672 11904 12896 14451 19268 19344 25792 28902 38536 38688 51584 57804 62621 77072 77376 115608 125242 149327 154144 154752 187863 231216 250484 298654 308288 375726 447981 462432 500968 597308 616576 751452 895962 924864 1001936 1194616 1502904 1791924 1849728 1941251 2003872 2389232 3005808 3583848 3882502 4007744 4778464 5823753 6011616 7167696 7765004 8015488 9556928 11647506 12023232 14335392 15530008 19113856 23295012 24046464 28670784 31060016 46590024 57341568 62120032 93180048 124240064 186360096 248480128 372720192 745440384