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3679650 = 23252131737
BaseRepresentation
bin1110000010010110100010
320220221112100
432002112202
51420222100
6210511230
743163562
oct16022642
96827470
103679650
112093637
121295516
139bab10
146bada2
154ca400
hex3825a2

3679650 has 144 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 829440.

The previous prime is 3679649. The next prime is 3679661. The reversal of 3679650 is 569763.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 641601 + 3038049 = 801^2 + 1743^2 .

It is a d-powerful number, because it can be written as 313 + 63 + 76 + 94 + 65 + 59 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99432 + ... + 99468.

Almost surely, 23679650 is an apocalyptic number.

3679650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788692).

3679650 is an abundant number, since it is smaller than the sum of its proper divisors (7897734).

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

3679650 is a wasteful number, since it uses less digits than its factorization.

3679650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3679650 is about 1918.2413820998. The cubic root of 3679650 is about 154.3839578579.

The spelling of 3679650 in words is "three million, six hundred seventy-nine thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 37 39 45 50 51 65 74 75 78 85 90 102 111 117 130 150 153 170 185 195 221 222 225 234 255 306 325 333 370 390 425 442 450 481 510 555 585 629 650 663 666 765 850 925 962 975 1105 1110 1170 1258 1275 1326 1443 1530 1665 1850 1887 1950 1989 2210 2405 2550 2775 2886 2925 3145 3315 3330 3774 3825 3978 4329 4810 5525 5550 5661 5850 6290 6630 7215 7650 8177 8325 8658 9435 9945 11050 11322 12025 14430 15725 16354 16575 16650 18870 19890 21645 24050 24531 28305 31450 33150 36075 40885 43290 47175 49062 49725 56610 72150 73593 81770 94350 99450 108225 122655 141525 147186 204425 216450 245310 283050 367965 408850 613275 735930 1226550 1839825 3679650