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3027634344 = 2332721931247
BaseRepresentation
bin1011010001110110…
…0000100010101000
321211000000202112100
42310131200202220
522200033244334
61220232413400
7135012316200
oct26435404250
97730022470
103027634344
111314025549
12705b47260
1339333b817
1420a15b400
1512ac01c99
hexb47608a8

3027634344 has 432 divisors, whose sum is σ = 10595707200. Its totient is φ = 776200320.

The previous prime is 3027634333. The next prime is 3027634367. The reversal of 3027634344 is 4434367203.

3027634344 is a `hidden beast` number, since 3 + 0 + 276 + 343 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3027634299 and 3027634308.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 64417729 + ... + 64417775.

It is an arithmetic number, because the mean of its divisors is an integer number (24527100).

Almost surely, 23027634344 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 3027634344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297853600).

3027634344 is an abundant number, since it is smaller than the sum of its proper divisors (7568072856).

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

3027634344 is a wasteful number, since it uses less digits than its factorization.

3027634344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The square root of 3027634344 is about 55023.9433701366. The cubic root of 3027634344 is about 1446.6644444410.

It can be divided in two parts, 30276 and 34344, that added together give a triangular number (64620 = T359).

The spelling of 3027634344 in words is "three billion, twenty-seven million, six hundred thirty-four thousand, three hundred forty-four".