Search a number
-
+
3050264400 = 2435215231669
BaseRepresentation
bin1011010111001111…
…0101011101010000
321212120121111010120
42311303311131100
522221331430100
61222401430240
7135405551061
oct26563653520
97776544116
103050264400
111325881877
1271163b380
13397c330a1
1420d16c568
1512cbc20a0
hexb5cf5750

3050264400 has 120 divisors (see below), whose sum is σ = 9783287520. Its totient is φ = 812382720.

The previous prime is 3050264353. The next prime is 3050264401. The reversal of 3050264400 is 44620503.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×30502644002 = 18608225819814720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3050264401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1826766 + ... + 1828434.

It is an arithmetic number, because the mean of its divisors is an integer number (81527396).

Almost surely, 23050264400 is an apocalyptic number.

3050264400 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 3050264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891643760).

3050264400 is an abundant number, since it is smaller than the sum of its proper divisors (6733023120).

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

3050264400 is a wasteful number, since it uses less digits than its factorization.

3050264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3213 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3050264400 is about 55229.1987991859. The cubic root of 3050264400 is about 1450.2598662267.

Adding to 3050264400 its reverse (44620503), we get a palindrome (3094884903).

The spelling of 3050264400 in words is "three billion, fifty million, two hundred sixty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 1523 1669 3046 3338 4569 5007 6092 6676 7615 8345 9138 10014 12184 13352 15230 16690 18276 20028 22845 24368 25035 26704 30460 33380 36552 38075 40056 41725 45690 50070 60920 66760 73104 76150 80112 83450 91380 100140 114225 121840 125175 133520 152300 166900 182760 200280 228450 250350 304600 333800 365520 400560 456900 500700 609200 667600 913800 1001400 1827600 2002800 2541887 5083774 7625661 10167548 12709435 15251322 20335096 25418870 30502644 38128305 40670192 50837740 61005288 63547175 76256610 101675480 122010576 127094350 152513220 190641525 203350960 254188700 305026440 381283050 508377400 610052880 762566100 1016754800 1525132200 3050264400