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45300320 = 2551329751
BaseRepresentation
bin1010110011001…
…1101001100000
310011020111100122
42230303221200
543044102240
64254535412
71060021622
oct254635140
9104214318
1045300320
112363088a
1213207568
139501230
146032c12
153e9c4b5
hex2b33a60

45300320 has 96 divisors (see below), whose sum is σ = 119387520. Its totient is φ = 16128000.

The previous prime is 45300301. The next prime is 45300323. The reversal of 45300320 is 2300354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59945 + ... + 60695.

It is an arithmetic number, because the mean of its divisors is an integer number (1243620).

Almost surely, 245300320 is an apocalyptic number.

45300320 is a gapful number since it is divisible by the number (40) 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 45300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59693760).

45300320 is an abundant number, since it is smaller than the sum of its proper divisors (74087200).

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

45300320 is a wasteful number, since it uses less digits than its factorization.

45300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 45300320 is about 6730.5512404260. The cubic root of 45300320 is about 356.4788405566.

Adding to 45300320 its reverse (2300354), we get a palindrome (47600674).

The spelling of 45300320 in words is "forty-five million, three hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 751 754 928 1040 1160 1502 1508 1885 2080 2320 3004 3016 3755 3770 4640 6008 6032 7510 7540 9763 12016 12064 15020 15080 19526 21779 24032 30040 30160 39052 43558 48815 60080 60320 78104 87116 97630 108895 120160 156208 174232 195260 217790 283127 312416 348464 390520 435580 566254 696928 781040 871160 1132508 1415635 1562080 1742320 2265016 2831270 3484640 4530032 5662540 9060064 11325080 22650160 45300320