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427737344 = 282396991
BaseRepresentation
bin11001011111101…
…100000100000000
31002210212022022212
4121133230010000
51334000043334
6110235521252
713412464436
oct3137540400
91083768285
10427737344
111aa4a0441
12bb2b9228
136a803728
1440b44d56
1527841ece
hex197ec100

427737344 has 36 divisors (see below), whose sum is σ = 857498880. Its totient is φ = 212943360.

The previous prime is 427737341. The next prime is 427737347. The reversal of 427737344 is 443737724.

It is an interprime number because it is at equal distance from previous prime (427737341) and next prime (427737347).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (427737341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57689 + ... + 64679.

Almost surely, 2427737344 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 427737344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428749440).

427737344 is an abundant number, since it is smaller than the sum of its proper divisors (429761536).

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

427737344 is an equidigital number, since it uses as much as digits as its factorization.

427737344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7232 counting only the distinct ones).

The product of its digits is 395136, while the sum is 41.

The square root of 427737344 is about 20681.8119128862. The cubic root of 427737344 is about 753.4580133175.

The spelling of 427737344 in words is "four hundred twenty-seven million, seven hundred thirty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 239 256 478 956 1912 3824 6991 7648 13982 15296 27964 30592 55928 61184 111856 223712 447424 894848 1670849 1789696 3341698 6683396 13366792 26733584 53467168 106934336 213868672 427737344