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2903421312 = 2732111931389
BaseRepresentation
bin1010110100001110…
…1011000110000000
321111100022002021200
42231003223012000
521421233440222
61200034221200
7131643450111
oct25503530600
97440262250
102903421312
11125a9a6450
12690424800
1337369b09c
141d7866208
1511ed67eac
hexad0eb180

2903421312 has 384 divisors, whose sum is σ = 9929088000. Its totient is φ = 804556800.

The previous prime is 2903421299. The next prime is 2903421317. The reversal of 2903421312 is 2131243092.

It is a happy number.

2903421312 is a `hidden beast` number, since 2 + 9 + 0 + 342 + 1 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2903421317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463614 + ... + 7464002.

It is an arithmetic number, because the mean of its divisors is an integer number (25857000).

Almost surely, 22903421312 is an apocalyptic number.

2903421312 is a gapful number since it is divisible by the number (22) 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 2903421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4964544000).

2903421312 is an abundant number, since it is smaller than the sum of its proper divisors (7025666688).

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

2903421312 is a wasteful number, since it uses less digits than its factorization.

2903421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2903421312 is about 53883.4047921992. The cubic root of 2903421312 is about 1426.6037242832.

The spelling of 2903421312 in words is "two billion, nine hundred three million, four hundred twenty-one thousand, three hundred twelve".