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3041240400 = 24325211611259
BaseRepresentation
bin1011010101000101…
…1010010101010000
321211221122000112100
42311101122111100
522212024143100
61221440200400
7135236055042
oct26521322520
97757560470
103041240400
111320778a20
1270a609100
133960c3843
1420bc9da92
1512bedd400
hexb545a550

3041240400 has 360 divisors, whose sum is σ = 11711437920. Its totient is φ = 724608000.

The previous prime is 3041240393. The next prime is 3041240437. The reversal of 3041240400 is 40421403.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2414971 + ... + 2416229.

It is an arithmetic number, because the mean of its divisors is an integer number (32531772).

Almost surely, 23041240400 is an apocalyptic number.

3041240400 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 3041240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855718960).

3041240400 is an abundant number, since it is smaller than the sum of its proper divisors (8670197520).

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

3041240400 is a wasteful number, since it uses less digits than its factorization.

3041240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3041240400 is about 55147.4423704309. The cubic root of 3041240400 is about 1448.8282884596.

Adding to 3041240400 its reverse (40421403), we get a palindrome (3081661803).

The spelling of 3041240400 in words is "three billion, forty-one million, two hundred forty thousand, four hundred".