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745304960 = 2757914741
BaseRepresentation
bin101100011011000…
…111001110000000
31220221102102012102
4230123013032000
53011244224320
6201542245532
724316662521
oct5433071600
91827372172
10745304960
11352783714
121897268a8
13bb54276a
1470dac848
1545671175
hex2c6c7380

745304960 has 64 divisors (see below), whose sum is σ = 1804420800. Its totient is φ = 294328320.

The previous prime is 745304941. The next prime is 745304971. The reversal of 745304960 is 69403547.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43190 + ... + 57930.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2745304960 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 745304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

745304960 is an abundant number, since it is smaller than the sum of its proper divisors (1059115840).

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

745304960 is a wasteful number, since it uses less digits than its factorization.

745304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839 (or 14827 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 745304960 is about 27300.2739912991. The cubic root of 745304960 is about 906.6604478620.

The spelling of 745304960 in words is "seven hundred forty-five million, three hundred four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 3160 5056 6320 10112 12640 14741 25280 29482 50560 58964 73705 117928 147410 235856 294820 471712 589640 943424 1164539 1179280 1886848 2329078 2358560 4658156 4717120 5822695 9316312 9434240 11645390 18632624 23290780 37265248 46581560 74530496 93163120 149060992 186326240 372652480 745304960