Search a number
-
+
3041400300 = 22352171931387
BaseRepresentation
bin1011010101001000…
…0001010111101100
321211221221010212120
42311102001113230
522212044302200
61221443432540
7135240322161
oct26522012754
97757833776
103041400300
111320878074
1270a685750
1339614b563
1420bd02068
1512c0209a0
hexb54815ec

3041400300 has 144 divisors (see below), whose sum is σ = 9808122240. Its totient is φ = 723133440.

The previous prime is 3041400287. The next prime is 3041400301. The reversal of 3041400300 is 30041403.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3041400300.

It is not an unprimeable number, because it can be changed into a prime (3041400301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81207 + ... + 112593.

It is an arithmetic number, because the mean of its divisors is an integer number (68111960).

Almost surely, 23041400300 is an apocalyptic number.

3041400300 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 3041400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904061120).

3041400300 is an abundant number, since it is smaller than the sum of its proper divisors (6766721940).

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

3041400300 is a wasteful number, since it uses less digits than its factorization.

3041400300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31440 (or 31433 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3041400300 is about 55148.8921012925. The cubic root of 3041400300 is about 1448.8536798080.

Adding to 3041400300 its reverse (30041403), we get a palindrome (3071441703).

The spelling of 3041400300 in words is "three billion, forty-one million, four hundred thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 31387 32300 48450 62774 94161 96900 125548 156935 188322 313870 376644 470805 533579 596353 627740 784675 941610 1067158 1192706 1569350 1600737 1789059 1883220 2134316 2354025 2385412 2667895 2981765 3138700 3201474 3578118 4708050 5335790 5963530 6402948 7156236 8003685 8945295 9416100 10138001 10671580 11927060 13339475 14908825 16007370 17890590 20276002 26678950 29817650 30414003 32014740 35781180 40018425 40552004 44726475 50690005 53357900 59635300 60828006 80036850 89452950 101380010 121656012 152070015 160073700 178905900 202760020 253450025 304140030 506900050 608280060 760350075 1013800100 1520700150 3041400300