Search a number
-
+
3484313700 = 2235272372139
BaseRepresentation
bin1100111110101110…
…0110100001100100
322222211100110211120
43033223212201210
524113441014300
61333424533540
7152226114660
oct31753464144
98884313746
103484313700
1115288934aa
12812a812b0
13436b367aa
14250a778a0
15155d5e3a0
hexcfae6864

3484313700 has 144 divisors (see below), whose sum is σ = 12022563840. Its totient is φ = 761777280.

The previous prime is 3484313699. The next prime is 3484313713. The reversal of 3484313700 is 73134843.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12231 + ... + 84369.

Almost surely, 23484313700 is an apocalyptic number.

3484313700 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 3484313700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6011281920).

3484313700 is an abundant number, since it is smaller than the sum of its proper divisors (8538250140).

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

3484313700 is a wasteful number, since it uses less digits than its factorization.

3484313700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72186 (or 72179 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 3484313700 is about 59028.0755234321. The cubic root of 3484313700 is about 1516.0228581475.

The spelling of 3484313700 in words is "three billion, four hundred eighty-four million, three hundred thirteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 25 28 30 35 42 46 50 60 69 70 75 84 92 100 105 115 138 140 150 161 175 210 230 276 300 322 345 350 420 460 483 525 575 644 690 700 805 966 1050 1150 1380 1610 1725 1932 2100 2300 2415 3220 3450 4025 4830 6900 8050 9660 12075 16100 24150 48300 72139 144278 216417 288556 360695 432834 504973 721390 865668 1009946 1082085 1442780 1514919 1659197 1803475 2019892 2164170 2524865 3029838 3318394 3606950 4328340 4977591 5049730 5410425 6059676 6636788 7213900 7574595 8295985 9955182 10099460 10820850 11614379 12624325 15149190 16591970 19910364 21641700 23228758 24887955 25248650 30298380 33183940 34843137 37872975 41479925 46457516 49775910 50497300 58071895 69686274 75745950 82959850 99551820 116143790 124439775 139372548 151491900 165919700 174215685 232287580 248879550 290359475 348431370 497759100 580718950 696862740 871078425 1161437900 1742156850 3484313700