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427334240 = 2553318069
BaseRepresentation
bin11001011110001…
…001101001100000
31002210002211101002
4121132021221200
51333344143430
6110223131132
713406165264
oct3136115140
91083084332
10427334240
111aa2455a3
12bb143aa8
136a6c20c8
1440a7c0a4
15277b2845
hex19789a60

427334240 has 48 divisors (see below), whose sum is σ = 1012752720. Its totient is φ = 170396160.

The previous prime is 427334113. The next prime is 427334261. The reversal of 427334240 is 42433724.

It is a super-2 number, since 2×4273342402 = 365229105352755200, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 48926 + ... + 56994.

It is an arithmetic number, because the mean of its divisors is an integer number (21099015).

Almost surely, 2427334240 is an apocalyptic number.

427334240 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 427334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506376360).

427334240 is an abundant number, since it is smaller than the sum of its proper divisors (585418480).

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

427334240 is a wasteful number, since it uses less digits than its factorization.

427334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8415 (or 8407 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The square root of 427334240 is about 20672.0642413862. The cubic root of 427334240 is about 753.2212501080.

Adding to 427334240 its reverse (42433724), we get a palindrome (469767964).

The spelling of 427334240 in words is "four hundred twenty-seven million, three hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 331 662 1324 1655 2648 3310 5296 6620 8069 10592 13240 16138 26480 32276 40345 52960 64552 80690 129104 161380 258208 322760 645520 1291040 2670839 5341678 10683356 13354195 21366712 26708390 42733424 53416780 85466848 106833560 213667120 427334240