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427842324 = 22357213691
BaseRepresentation
bin11001100000000…
…101101100010100
31002211001122100000
4121200011230110
51334011423244
6110242051300
713413412500
oct3140055424
91084048300
10427842324
111aa5622a8
12bb349b30
136a83c450
1440b71300
1527863169
hex19805b14

427842324 has 216 divisors, whose sum is σ = 1407046368. Its totient is φ = 112674240.

The previous prime is 427842287. The next prime is 427842347. The reversal of 427842324 is 423248724.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 618819 + ... + 619509.

Almost surely, 2427842324 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 427842324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703523184).

427842324 is an abundant number, since it is smaller than the sum of its proper divisors (979204044).

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

427842324 is a wasteful number, since it uses less digits than its factorization.

427842324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 716 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 427842324 is about 20684.3497359719. The cubic root of 427842324 is about 753.5196489242.

The spelling of 427842324 in words is "four hundred twenty-seven million, eight hundred forty-two thousand, three hundred twenty-four".