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427498344 = 233372132239
BaseRepresentation
bin11001011110110…
…001101101101000
31002210102011111000
4121132301231220
51333414421334
6110230435000
713410450600
oct3136615550
91083364430
10427498344
111aa347919
12bb202a60
136a74ba00
1440ac1c00
15277e6299
hex197b1b68

427498344 has 288 divisors, whose sum is σ = 1502064000. Its totient is φ = 112275072.

The previous prime is 427498343. The next prime is 427498363. The reversal of 427498344 is 443894724.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 427498344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427498343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1788577 + ... + 1788815.

It is an arithmetic number, because the mean of its divisors is an integer number (5215500).

Almost surely, 2427498344 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 427498344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751032000).

427498344 is an abundant number, since it is smaller than the sum of its proper divisors (1074565656).

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

427498344 is a wasteful number, since it uses less digits than its factorization.

427498344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 264 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 427498344 is about 20676.0330818075. The cubic root of 427498344 is about 753.3176545845.

The spelling of 427498344 in words is "four hundred twenty-seven million, four hundred ninety-eight thousand, three hundred forty-four".