Search a number
-
+
3243055700 = 2252314324329
BaseRepresentation
bin1100000101001101…
…0001101001010100
322101000101022002002
43001103101221110
523120210240300
61253445534432
7143236342613
oct30123215124
98330338062
103243055700
111414690825
12766114418
133c8b65191
1422a9d587a
1513eaa55d5
hexc14d1a54

3243055700 has 72 divisors (see below), whose sum is σ = 7433690880. Its totient is φ = 1226131200.

The previous prime is 3243055687. The next prime is 3243055721. The reversal of 3243055700 is 75503423.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121136 + ... + 145464.

Almost surely, 23243055700 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 3243055700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716845440).

3243055700 is an abundant number, since it is smaller than the sum of its proper divisors (4190635180).

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

3243055700 is a wasteful number, since it uses less digits than its factorization.

3243055700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24417 (or 24410 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 3243055700 is about 56947.8331457835. The cubic root of 3243055700 is about 1480.1922838800.

The spelling of 3243055700 in words is "three billion, two hundred forty-three million, fifty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 31 43 50 62 86 100 124 155 172 215 310 430 620 775 860 1075 1333 1550 2150 2666 3100 4300 5332 6665 13330 24329 26660 33325 48658 66650 97316 121645 133300 243290 486580 608225 754199 1046147 1216450 1508398 2092294 2432900 3016796 3770995 4184588 5230735 7541990 10461470 15083980 18854975 20922940 26153675 32430557 37709950 52307350 64861114 75419900 104614700 129722228 162152785 324305570 648611140 810763925 1621527850 3243055700