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3055694400 = 26325211101191
BaseRepresentation
bin1011011000100010…
…0011001001000000
321212221211100200200
42312020203021000
522224224210100
61223114045200
7135502655013
oct26610431100
97787740620
103055694400
111328950480
12713419800
133990b47c5
1420db8337a
1512d3e5e00
hexb6223240

3055694400 has 504 divisors, whose sum is σ = 12027944448. Its totient is φ = 729600000.

The previous prime is 3055694381. The next prime is 3055694449. The reversal of 3055694400 is 44965503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15998305 + ... + 15998495.

Almost surely, 23055694400 is an apocalyptic number.

3055694400 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 3055694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6013972224).

3055694400 is an abundant number, since it is smaller than the sum of its proper divisors (8972250048).

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

3055694400 is a wasteful number, since it uses less digits than its factorization.

3055694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3055694400 is about 55278.3357202440. The cubic root of 3055694400 is about 1451.1199274930.

The spelling of 3055694400 in words is "three billion, fifty-five million, six hundred ninety-four thousand, four hundred".