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745820320 = 25573121481
BaseRepresentation
bin101100011101000…
…101000010100000
31220222101121010211
4230131011002200
53011412222240
6202001303504
724324240160
oct5435050240
91828347124
10745820320
11352aa5933
12189934b94
13bb6931cb
14710a45a0
1545723bea
hex2c7450a0

745820320 has 96 divisors (see below), whose sum is σ = 2078770176. Its totient is φ = 247449600.

The previous prime is 745820303. The next prime is 745820363. The reversal of 745820320 is 23028547.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

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, 23980 + ... + 45460.

It is an arithmetic number, because the mean of its divisors is an integer number (21653856).

Almost surely, 2745820320 is an apocalyptic number.

745820320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039385088).

745820320 is an abundant number, since it is smaller than the sum of its proper divisors (1332949856).

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

745820320 is a wasteful number, since it uses less digits than its factorization.

745820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21534 (or 21526 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 745820320 is about 27309.7110933089. The cubic root of 745820320 is about 906.8693774931.

Adding to 745820320 its reverse (23028547), we get a palindrome (768848867).

The spelling of 745820320 in words is "seven hundred forty-five million, eight hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 70 80 112 124 140 155 160 217 224 248 280 310 434 496 560 620 868 992 1085 1120 1240 1736 2170 2480 3472 4340 4960 6944 8680 17360 21481 34720 42962 85924 107405 150367 171848 214810 300734 343696 429620 601468 665911 687392 751835 859240 1202936 1331822 1503670 1718480 2405872 2663644 3007340 3329555 3436960 4661377 4811744 5327288 6014680 6659110 9322754 10654576 12029360 13318220 18645508 21309152 23306885 24058720 26636440 37291016 46613770 53272880 74582032 93227540 106545760 149164064 186455080 372910160 745820320