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336420000 = 253354789
BaseRepresentation
bin10100000011010…
…101110010100000
3212110000220111000
4110003111302200
51142110420000
653214352000
711223344220
oct2403256240
9773026430
10336420000
1116299a364
12947bb600
135490ccb7
1432974080
151e805000
hex140d5ca0

336420000 has 480 divisors, whose sum is σ = 1417046400. Its totient is φ = 76032000.

The previous prime is 336419969. The next prime is 336420001. The reversal of 336420000 is 24633.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3364200002 = 226356832800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (336420001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3779956 + ... + 3780044.

It is an arithmetic number, because the mean of its divisors is an integer number (2952180).

Almost surely, 2336420000 is an apocalyptic number.

336420000 is a gapful number since it is divisible by the number (30) 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 336420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708523200).

336420000 is an abundant number, since it is smaller than the sum of its proper divisors (1080626400).

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

336420000 is an equidigital number, since it uses as much as digits as its factorization.

336420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 336420000 is about 18341.7556411593. The cubic root of 336420000 is about 695.4948772527.

Adding to 336420000 its reverse (24633), we get a palindrome (336444633).

The spelling of 336420000 in words is "three hundred thirty-six million, four hundred twenty thousand".