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3021442400 = 255213012903
BaseRepresentation
bin1011010000010111…
…1000110101100000
321210120101011210002
42310011320311200
522141442124100
61215451555132
7134605556654
oct26405706540
97716334702
103021442400
111310586439
12703a5baa8
13391c81352
142093c8a64
1512a3cc2d5
hexb4178d60

3021442400 has 72 divisors (see below), whose sum is σ = 7384308624. Its totient is φ = 1207232000.

The previous prime is 3021442393. The next prime is 3021442421. The reversal of 3021442400 is 42441203.

It is a super-2 number, since 2×30214424002 = 18258228353035520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1039349 + ... + 1042251.

It is an arithmetic number, because the mean of its divisors is an integer number (102559842).

Almost surely, 23021442400 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 3021442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692154312).

3021442400 is an abundant number, since it is smaller than the sum of its proper divisors (4362866224).

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

3021442400 is a wasteful number, since it uses less digits than its factorization.

3021442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224 (or 4211 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3021442400 is about 54967.6486671933. The cubic root of 3021442400 is about 1445.6775596631.

Adding to 3021442400 its reverse (42441203), we get a palindrome (3063883603).

The spelling of 3021442400 in words is "three billion, twenty-one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1301 2602 2903 5204 5806 6505 10408 11612 13010 14515 20816 23224 26020 29030 32525 41632 46448 52040 58060 65050 72575 92896 104080 116120 130100 145150 208160 232240 260200 290300 464480 520400 580600 1040800 1161200 2322400 3776803 7553606 15107212 18884015 30214424 37768030 60428848 75536060 94420075 120857696 151072120 188840150 302144240 377680300 604288480 755360600 1510721200 3021442400