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427234560 = 2835313797
BaseRepresentation
bin11001011101110…
…001010100000000
31002202220202122020
4121131301110000
51333333001220
6110221041440
713405301544
oct3135612400
91082822566
10427234560
111aa187715
12bb0b6280
136a68891c
1440a53a24
1527793040
hex19771500

427234560 has 288 divisors, whose sum is σ = 1461476352. Its totient is φ = 106168320.

The previous prime is 427234543. The next prime is 427234571. The reversal of 427234560 is 65432724.

It is a congruent number.

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, 4404432 + ... + 4404528.

Almost surely, 2427234560 is an apocalyptic number.

427234560 is a gapful number since it is divisible by the number (40) 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 427234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730738176).

427234560 is an abundant number, since it is smaller than the sum of its proper divisors (1034241792).

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

427234560 is a wasteful number, since it uses less digits than its factorization.

427234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 427234560 is about 20669.6531175538. The cubic root of 427234560 is about 753.1626800819.

The spelling of 427234560 in words is "four hundred twenty-seven million, two hundred thirty-four thousand, five hundred sixty".