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420343032 = 233232572963
BaseRepresentation
bin11001000011011…
…110110011111000
31002021221122020110
4121003132303320
51330101434112
6105413224320
713262566614
oct3103366370
91067848213
10420343032
111a62aaa3a
12b89320a0
1369114bb5
143db7c344
1526d8113c
hex190decf8

420343032 has 64 divisors (see below), whose sum is σ = 1101185280. Its totient is φ = 133455872.

The previous prime is 420343019. The next prime is 420343039. The reversal of 420343032 is 230343024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420343039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140383 + ... + 143345.

It is an arithmetic number, because the mean of its divisors is an integer number (17206020).

Almost surely, 2420343032 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 420343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550592640).

420343032 is an abundant number, since it is smaller than the sum of its proper divisors (680842248).

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

420343032 is a wasteful number, since it uses less digits than its factorization.

420343032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 420343032 is about 20502.2689476068. The cubic root of 420343032 is about 749.0910660081.

Adding to 420343032 its reverse (230343024), we get a palindrome (650686056).

The spelling of 420343032 in words is "four hundred twenty million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 257 276 514 552 771 1028 1542 2056 2963 3084 5911 5926 6168 8889 11822 11852 17733 17778 23644 23704 35466 35556 47288 68149 70932 71112 136298 141864 204447 272596 408894 545192 761491 817788 1522982 1635576 2284473 3045964 4568946 6091928 9137892 17514293 18275784 35028586 52542879 70057172 105085758 140114344 210171516 420343032