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421346016 = 253371323233
BaseRepresentation
bin11001000111010…
…011101011100000
31002100211121002000
4121013103223200
51330331033031
6105450524000
713304245020
oct3107235340
91070747060
10421346016
111a6925553
12b9136600
13693a6590
143dd5da80
1526ecd3e6
hex191d3ae0

421346016 has 384 divisors, whose sum is σ = 1585059840. Its totient is φ = 105836544.

The previous prime is 421346011. The next prime is 421346041. The reversal of 421346016 is 610643124.

421346016 is a `hidden beast` number, since 4 + 21 + 34 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421346011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808236 + ... + 1808468.

It is an arithmetic number, because the mean of its divisors is an integer number (4127760).

Almost surely, 2421346016 is an apocalyptic number.

421346016 is a gapful number since it is divisible by the number (46) 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 421346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

421346016 is an abundant number, since it is smaller than the sum of its proper divisors (1163713824).

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

421346016 is a wasteful number, since it uses less digits than its factorization.

421346016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 421346016 is about 20526.7146908608. The cubic root of 421346016 is about 749.6863968891.

The spelling of 421346016 in words is "four hundred twenty-one million, three hundred forty-six thousand, sixteen".