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3482243700 = 22352132338821
BaseRepresentation
bin1100111110001110…
…1101001001110100
322222200110022022220
43033203231021310
524112423244300
61333312322340
7152202403665
oct31743551164
98880408286
103482243700
1115276aa261
128122433b0
13436590540
1425069936c
15155aa0da0
hexcf8ed274

3482243700 has 144 divisors (see below), whose sum is σ = 11322358656. Its totient is φ = 819878400.

The previous prime is 3482243663. The next prime is 3482243711. The reversal of 3482243700 is 73422843.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70290 + ... + 109110.

Almost surely, 23482243700 is an apocalyptic number.

3482243700 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 3482243700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661179328).

3482243700 is an abundant number, since it is smaller than the sum of its proper divisors (7840114956).

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

3482243700 is a wasteful number, since it uses less digits than its factorization.

3482243700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38874 (or 38867 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 3482243700 is about 59010.5388892527. The cubic root of 3482243700 is about 1515.7225800780.

The spelling of 3482243700 in words is "three billion, four hundred eighty-two million, two hundred forty-three thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 38821 44850 77642 89700 116463 155284 194105 232926 388210 465852 504673 582315 776420 892883 970525 1009346 1164630 1514019 1785766 1941050 2018692 2329260 2523365 2678649 2911575 3028038 3571532 3882100 4464415 5046730 5357298 5823150 6056076 7570095 8928830 10093460 10714596 11607479 11646300 12616825 13393245 15140190 17857660 22322075 23214958 25233650 26786490 30280380 34822437 37850475 44644150 46429916 50467300 53572980 58037395 66966225 69644874 75700950 89288300 116074790 133932450 139289748 151401900 174112185 232149580 267864900 290186975 348224370 580373950 696448740 870560925 1160747900 1741121850 3482243700