Search a number
-
+
3380010700 = 22521119433761
BaseRepresentation
bin1100100101110110…
…1101111011001100
322201120002100000111
43021131231323030
523410240320300
61315221205404
7146521421413
oct31135557314
98646070014
103380010700
111484a23080
127a3b60864
1341b347541
14240c8647a
1514bb099ba
hexc976decc

3380010700 has 144 divisors (see below), whose sum is σ = 8620698240. Its totient is φ = 1137024000.

The previous prime is 3380010691. The next prime is 3380010713. The reversal of 3380010700 is 70100833.

It is a super-2 number, since 2×33800107002 = 22848944664228980000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 47 ways as a sum of consecutive naturals, for example, 896820 + ... + 900580.

It is an arithmetic number, because the mean of its divisors is an integer number (59865960).

Almost surely, 23380010700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310349120).

3380010700 is an abundant number, since it is smaller than the sum of its proper divisors (5240687540).

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

3380010700 is a wasteful number, since it uses less digits than its factorization.

3380010700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3848 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 3380010700 is about 58137.8594377192. The cubic root of 3380010700 is about 1500.7419588634.

The spelling of 3380010700 in words is "three billion, three hundred eighty million, ten thousand, seven hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 43 44 50 55 76 86 95 100 110 172 190 209 215 220 275 380 418 430 473 475 550 817 836 860 946 950 1045 1075 1100 1634 1892 1900 2090 2150 2365 3268 3761 4085 4180 4300 4730 5225 7522 8170 8987 9460 10450 11825 15044 16340 17974 18805 20425 20900 23650 35948 37610 40850 41371 44935 47300 71459 75220 81700 82742 89870 94025 142918 161723 165484 179740 188050 206855 224675 285836 323446 357295 376100 413710 449350 646892 714590 786049 808615 827420 898700 1034275 1429180 1572098 1617230 1778953 1786475 2068550 3072737 3144196 3234460 3557906 3572950 3930245 4043075 4137100 6145474 7115812 7145900 7860490 8086150 8894765 12290948 15363685 15720980 16172300 17789530 19651225 30727370 33800107 35579060 39302450 44473825 61454740 67600214 76818425 78604900 88947650 135200428 153636850 169000535 177895300 307273700 338001070 676002140 845002675 1690005350 3380010700