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420402234 = 23723563773
BaseRepresentation
bin11001000011101…
…101010000111010
31002022001122110010
4121003231100322
51330110332414
6105414402350
713263234330
oct3103552072
91068048403
10420402234
111a634046a
12b89603b6
1369135b25
143db95b50
1526d93959
hex190ed43a

420402234 has 64 divisors (see below), whose sum is σ = 1005778944. Its totient is φ = 114540096.

The previous prime is 420402223. The next prime is 420402239. The reversal of 420402234 is 432204024.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420402234.

It is not an unprimeable number, because it can be changed into a prime (420402239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 543472 + ... + 544244.

It is an arithmetic number, because the mean of its divisors is an integer number (15715296).

Almost surely, 2420402234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420402234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502889472).

420402234 is an abundant number, since it is smaller than the sum of its proper divisors (585376710).

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

420402234 is a wasteful number, since it uses less digits than its factorization.

420402234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371.

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 420402234 is about 20503.7126881938. The cubic root of 420402234 is about 749.1262322129.

Adding to 420402234 its reverse (432204024), we get a palindrome (852606258).

The spelling of 420402234 in words is "four hundred twenty million, four hundred two thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 138 161 322 483 563 773 966 1126 1546 1689 2319 3378 3941 4638 5411 7882 10822 11823 12949 16233 17779 23646 25898 32466 35558 38847 53337 77694 90643 106674 124453 181286 248906 271929 373359 435199 543858 746718 870398 1305597 2611194 3046393 6092786 9139179 10009577 18278358 20019154 30028731 60057462 70067039 140134078 210201117 420402234