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420041304 = 233217571601
BaseRepresentation
bin11001000010010…
…101001001011000
31002021101022100100
4121002111021120
51330012310204
6105402535400
713260202134
oct3102251130
91067338310
10420041304
111a6114281
12b8807560
136903a767
143db003c4
1526d21a39
hex19095258

420041304 has 96 divisors (see below), whose sum is σ = 1208647440. Its totient is φ = 131328000.

The previous prime is 420041299. The next prime is 420041333. The reversal of 420041304 is 403140024.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 698604 + ... + 699204.

Almost surely, 2420041304 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 420041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604323720).

420041304 is an abundant number, since it is smaller than the sum of its proper divisors (788606136).

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

420041304 is a wasteful number, since it uses less digits than its factorization.

420041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420041304 is about 20494.9092215604. The cubic root of 420041304 is about 748.9117871541.

Adding to 420041304 its reverse (403140024), we get a palindrome (823181328).

The spelling of 420041304 in words is "four hundred twenty million, forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 571 601 612 1142 1202 1224 1713 1803 2284 2404 3426 3606 4568 4808 5139 5409 6852 7212 9707 10217 10278 10818 13704 14424 19414 20434 20556 21636 29121 30651 38828 40868 41112 43272 58242 61302 77656 81736 87363 91953 116484 122604 174726 183906 232968 245208 343171 349452 367812 686342 698904 735624 1029513 1372684 2059026 2745368 3088539 4118052 5833907 6177078 8236104 11667814 12354156 17501721 23335628 24708312 35003442 46671256 52505163 70006884 105010326 140013768 210020652 420041304