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3050268400 = 245261149839
BaseRepresentation
bin1011010111001111…
…0110011011110000
321212120121200121201
42311303312123300
522221332042100
61222401500544
7135405565534
oct26563663360
97776550551
103050268400
111325884883
12711641754
13397c34b5a
1420d16dbc4
1512cbc336a
hexb5cf66f0

3050268400 has 120 divisors (see below), whose sum is σ = 7507332000. Its totient is φ = 1190630400.

The previous prime is 3050268391. The next prime is 3050268409. The reversal of 3050268400 is 48620503.

It is an interprime number because it is at equal distance from previous prime (3050268391) and next prime (3050268409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3050268409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3635181 + ... + 3636019.

It is an arithmetic number, because the mean of its divisors is an integer number (62561100).

Almost surely, 23050268400 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 3050268400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753666000).

3050268400 is an abundant number, since it is smaller than the sum of its proper divisors (4457063600).

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

3050268400 is a wasteful number, since it uses less digits than its factorization.

3050268400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 3050268400 is about 55229.2350119029. The cubic root of 3050268400 is about 1450.2605001649.

Adding to 3050268400 its reverse (48620503), we get a palindrome (3098888903).

The spelling of 3050268400 in words is "three billion, fifty million, two hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 149 200 244 298 305 400 488 596 610 745 839 976 1192 1220 1490 1525 1678 2384 2440 2980 3050 3356 3725 4195 4880 5960 6100 6712 7450 8390 9089 11920 12200 13424 14900 16780 18178 20975 24400 29800 33560 36356 41950 45445 51179 59600 67120 72712 83900 90890 102358 125011 145424 167800 181780 204716 227225 250022 255895 335600 363560 409432 454450 500044 511790 625055 727120 818864 908900 1000088 1023580 1250110 1279475 1817800 2000176 2047160 2500220 2558950 3125275 3635600 4094320 5000440 5117900 6250550 7625671 10000880 10235800 12501100 15251342 20471600 25002200 30502684 38128355 50004400 61005368 76256710 122010736 152513420 190641775 305026840 381283550 610053680 762567100 1525134200 3050268400