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676349520 = 243571136599
BaseRepresentation
bin101000010100000…
…100011001010000
31202010200010010020
4220110010121100
52341121141040
6151040303440
722521606330
oct5024043120
91663603106
10676349520
11317866450
1216a611b80
13aa17b522
1465b7d0c0
153e59ecd0
hex28504650

676349520 has 160 divisors (see below), whose sum is σ = 2614118400. Its totient is φ = 140536320.

The previous prime is 676349507. The next prime is 676349533. The reversal of 676349520 is 25943676.

It is an interprime number because it is at equal distance from previous prime (676349507) and next prime (676349533).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181 + ... + 36779.

It is an arithmetic number, because the mean of its divisors is an integer number (16338240).

Almost surely, 2676349520 is an apocalyptic number.

676349520 is a gapful number since it is divisible by the number (60) 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 676349520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307059200).

676349520 is an abundant number, since it is smaller than the sum of its proper divisors (1937768880).

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

676349520 is a wasteful number, since it uses less digits than its factorization.

676349520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36633 (or 36627 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 676349520 is about 26006.7206698576. The cubic root of 676349520 is about 877.7895279217.

The spelling of 676349520 in words is "six hundred seventy-six million, three hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 36599 73198 109797 146396 182995 219594 256193 292792 365990 402589 439188 512386 548985 585584 731980 768579 805178 878376 1024772 1097970 1207767 1280965 1463960 1537158 1610356 1756752 2012945 2049544 2195940 2415534 2561930 2818123 2927920 3074316 3220712 3842895 4025890 4099088 4391880 4831068 5123860 5636246 6038835 6148632 6441424 7685790 8051780 8454369 8783760 9662136 10247720 11272492 12077670 12297264 14090615 15371580 16103560 16908738 19324272 20495440 22544984 24155340 28181230 30743160 32207120 33817476 42271845 45089968 48310680 56362460 61486320 67634952 84543690 96621360 112724920 135269904 169087380 225449840 338174760 676349520