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3102997680 = 243352949537
BaseRepresentation
bin1011100011110011…
…1111110010110000
322000020211121121000
42320330333302300
522323331411210
61231524002000
7136616021316
oct27074776260
98006747530
103102997680
11135261a0a2
12727230300
133a5b37603
142161780b6
1513263bac0
hexb8f3fcb0

3102997680 has 160 divisors (see below), whose sum is σ = 11056881600. Its totient is φ = 798916608.

The previous prime is 3102997663. The next prime is 3102997717. The reversal of 3102997680 is 867992013.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37872 + ... + 87408.

It is an arithmetic number, because the mean of its divisors is an integer number (69105510).

Almost surely, 23102997680 is an apocalyptic number.

3102997680 is a gapful number since it is divisible by the number (30) 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 3102997680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528440800).

3102997680 is an abundant number, since it is smaller than the sum of its proper divisors (7953883920).

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

3102997680 is a wasteful number, since it uses less digits than its factorization.

3102997680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49588 (or 49576 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 3102997680 is about 55704.5570846767. The cubic root of 3102997680 is about 1458.5695754278.

The spelling of 3102997680 in words is "three billion, one hundred two million, nine hundred ninety-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2320 2610 3132 3480 3915 4176 5220 6264 6960 7830 10440 12528 15660 20880 31320 49537 62640 99074 148611 198148 247685 297222 396296 445833 495370 594444 743055 792592 891666 990740 1188888 1337499 1436573 1486110 1783332 1981480 2229165 2377776 2674998 2873146 2972220 3566664 3962960 4309719 4458330 5349996 5746292 5944440 6687495 7133328 7182865 8619438 8916660 10699992 11492584 11888880 12929157 13374990 14365730 17238876 17833320 21399984 21548595 22985168 25858314 26749980 28731460 34477752 35666640 38787471 43097190 51716628 53499960 57462920 64645785 68955504 77574942 86194380 103433256 106999920 114925840 129291570 155149884 172388760 193937355 206866512 258583140 310299768 344777520 387874710 517166280 620599536 775749420 1034332560 1551498840 3102997680