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3055364400 = 24352112111097
BaseRepresentation
bin1011011000011101…
…0010100100110000
321212221012121000110
42312013102210300
522224133130100
61223103021320
7135500111634
oct26607224460
97787177013
103055364400
111328745550
1271329a840
13398cca53a
1420dad8dc4
1512d37d250
hexb61d2930

3055364400 has 240 divisors, whose sum is σ = 10737491328. Its totient is φ = 736512000.

The previous prime is 3055364387. The next prime is 3055364419. The reversal of 3055364400 is 44635503.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2784652 + ... + 2785748.

Almost surely, 23055364400 is an apocalyptic number.

3055364400 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 3055364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368745664).

3055364400 is an abundant number, since it is smaller than the sum of its proper divisors (7682126928).

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

3055364400 is a wasteful number, since it uses less digits than its factorization.

3055364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3055364400 is about 55275.3507451558. The cubic root of 3055364400 is about 1451.0676876687.

Adding to 3055364400 its reverse (44635503), we get a palindrome (3099999903).

The spelling of 3055364400 in words is "three billion, fifty-five million, three hundred sixty-four thousand, four hundred".