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420034304 = 282815839
BaseRepresentation
bin11001000010010…
…011011100000000
31002021100221202002
4121002103130000
51330012044204
6105402443132
713260142544
oct3102233400
91067327662
10420034304
111a6109a98
12b88034a8
1369037511
143dadba24
1526d1e91e
hex19093700

420034304 has 36 divisors (see below), whose sum is σ = 841555680. Its totient is φ = 209233920.

The previous prime is 420034301. The next prime is 420034313. The reversal of 420034304 is 403430024.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420034301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69017 + ... + 74855.

Almost surely, 2420034304 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 420034304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420777840).

420034304 is an abundant number, since it is smaller than the sum of its proper divisors (421521376).

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

420034304 is an equidigital number, since it uses as much as digits as its factorization.

420034304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6136 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420034304 is about 20494.7384467331. The cubic root of 420034304 is about 748.9076269190.

Adding to 420034304 its reverse (403430024), we get a palindrome (823464328).

The spelling of 420034304 in words is "four hundred twenty million, thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 281 562 1124 2248 4496 5839 8992 11678 17984 23356 35968 46712 71936 93424 186848 373696 747392 1494784 1640759 3281518 6563036 13126072 26252144 52504288 105008576 210017152 420034304