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3381050448 = 243228183557
BaseRepresentation
bin1100100110000110…
…1011110001010000
322201122001011021200
43021201223301100
523411022103243
61315255351200
7146533311636
oct31141536120
98648034250
103381050448
111485573276
127a4382500
1341b61c889
14241077356
1514bc62ad3
hexc986bc50

3381050448 has 60 divisors (see below), whose sum is σ = 9496032468. Its totient is φ = 1122992640.

The previous prime is 3381050441. The next prime is 3381050461. The reversal of 3381050448 is 8440501833.

3381050448 is a `hidden beast` number, since 33 + 81 + 0 + 504 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3039096384 + 341954064 = 55128^2 + 18492^2 .

It is a super-3 number, since 3×33810504483 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3381050441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315 + ... + 82242.

Almost surely, 23381050448 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 3381050448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4748016234).

3381050448 is an abundant number, since it is smaller than the sum of its proper divisors (6114982020).

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

3381050448 is a wasteful number, since it uses less digits than its factorization.

3381050448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83852 (or 83843 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3381050448 is about 58146.8008406309. The cubic root of 3381050448 is about 1500.8958275555.

The spelling of 3381050448 in words is "three billion, three hundred eighty-one million, fifty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 3372 4496 5058 6744 10116 13488 20232 40464 83557 167114 250671 334228 501342 668456 752013 1002684 1336912 1504026 2005368 3008052 4010736 6016104 12032208 23479517 46959034 70438551 93918068 140877102 187836136 211315653 281754204 375672272 422631306 563508408 845262612 1127016816 1690525224 3381050448