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3040412400 = 2432524120599
BaseRepresentation
bin1011010100111001…
…0000001011110000
321211220001221201200
42311032100023300
522211321144100
61221410331200
7135226036044
oct26516201360
97756057650
103040412400
111320262923
1270a289b00
13395b939bc
1420bb26024
1512bdc7e00
hexb53902f0

3040412400 has 180 divisors, whose sum is σ = 10808943600. Its totient is φ = 790963200.

The previous prime is 3040412377. The next prime is 3040412411. The reversal of 3040412400 is 42140403.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 137301 + ... + 157899.

Almost surely, 23040412400 is an apocalyptic number.

3040412400 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 3040412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404471800).

3040412400 is an abundant number, since it is smaller than the sum of its proper divisors (7768531200).

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

3040412400 is a wasteful number, since it uses less digits than its factorization.

3040412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20664 (or 20650 counting only the distinct ones).

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

The square root of 3040412400 is about 55139.9347116044. The cubic root of 3040412400 is about 1448.6967918167.

Adding to 3040412400 its reverse (42140403), we get a palindrome (3082552803).

The spelling of 3040412400 in words is "three billion, forty million, four hundred twelve thousand, four hundred".