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3055214400 = 263527791151
BaseRepresentation
bin1011011000011010…
…1101111101000000
321212220220222020220
42312012231331000
522224113330100
61223055503040
7135465615420
oct26606557500
97786828226
103055214400
111328652887
12713227a80
13398c77194
1420da9a480
1512d34daa0
hexb61adf40

3055214400 has 336 divisors, whose sum is σ = 11610685440. Its totient is φ = 688896000.

The previous prime is 3055214387. The next prime is 3055214443. The reversal of 3055214400 is 44125503.

3055214400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2653825 + ... + 2654975.

Almost surely, 23055214400 is an apocalyptic number.

3055214400 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 3055214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805342720).

3055214400 is an abundant number, since it is smaller than the sum of its proper divisors (8555471040).

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

3055214400 is a wasteful number, since it uses less digits than its factorization.

3055214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3055214400 is about 55273.9938850089. The cubic root of 3055214400 is about 1451.0439410505.

Adding to 3055214400 its reverse (44125503), we get a palindrome (3099339903).

The spelling of 3055214400 in words is "three billion, fifty-five million, two hundred fourteen thousand, four hundred".