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675403300 = 2252111373647
BaseRepresentation
bin101000010000011…
…101011000100100
31202001220001011001
4220100131120210
52340400401200
6151004123044
722510555555
oct5020353044
91661801131
10675403300
1131727a550
1216a236484
13a9c09930
14659b432c
153e46476a
hex2841d624

675403300 has 144 divisors (see below), whose sum is σ = 1748138112. Its totient is φ = 223257600.

The previous prime is 675403249. The next prime is 675403321. The reversal of 675403300 is 3304576.

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 47 ways as a sum of consecutive naturals, for example, 1043577 + ... + 1044223.

It is an arithmetic number, because the mean of its divisors is an integer number (12139848).

Almost surely, 2675403300 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 675403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874069056).

675403300 is an abundant number, since it is smaller than the sum of its proper divisors (1072734812).

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

675403300 is a wasteful number, since it uses less digits than its factorization.

675403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 675403300 is about 25988.5224666582. The cubic root of 675403300 is about 877.3799913262.

Adding to 675403300 its reverse (3304576), we get a palindrome (678707876).

It can be divided in two parts, 675403 and 300, that added together give a triangular number (675703 = T1162).

The spelling of 675403300 in words is "six hundred seventy-five million, four hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 73 100 110 130 143 146 220 260 275 286 292 325 365 550 572 647 650 715 730 803 949 1100 1294 1300 1430 1460 1606 1825 1898 2588 2860 3212 3235 3575 3650 3796 4015 4745 6470 7117 7150 7300 8030 8411 9490 10439 12940 14234 14300 16060 16175 16822 18980 20075 20878 23725 28468 32350 33644 35585 40150 41756 42055 47231 47450 52195 64700 71170 80300 84110 92521 94462 94900 104390 142340 168220 177925 185042 188924 208780 210275 236155 260975 355850 370084 420550 462605 472310 519541 521950 614003 711700 841100 925210 944620 1039082 1043900 1180775 1228006 1850420 2078164 2313025 2361550 2456012 2597705 3070015 4626050 4723100 5195410 6140030 6754033 9252100 10390820 12280060 12988525 13508066 15350075 25977050 27016132 30700150 33770165 51954100 61400300 67540330 135080660 168850825 337701650 675403300