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3376283904 = 28337312251
BaseRepresentation
bin1100100100111110…
…0000000100000000
322201022001222211000
43021033200010000
523403312041104
61315005252000
7146444640210
oct31117400400
98638058730
103376283904
111482908084
127a2864000
1341a641136
14240596240
1514b620639
hexc93e0100

3376283904 has 288 divisors, whose sum is σ = 11783905280. Its totient is φ = 933120000.

The previous prime is 3376283887. The next prime is 3376283917. The reversal of 3376283904 is 4093826733.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×33762839042 = 22798586000818962432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3376283904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498779 + ... + 1501029.

Almost surely, 23376283904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891952640).

3376283904 is an abundant number, since it is smaller than the sum of its proper divisors (8407621376).

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

3376283904 is a wasteful number, since it uses less digits than its factorization.

3376283904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3376283904 is about 58105.7992286484. The cubic root of 3376283904 is about 1500.1901838857.

The spelling of 3376283904 in words is "three billion, three hundred seventy-six million, two hundred eighty-three thousand, nine hundred four".