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423061236 = 2232132813217
BaseRepresentation
bin11001001101110…
…110011011110100
31002111001201220200
4121031312123310
51331300424421
6105551400500
713324650453
oct3115663364
91074051820
10423061236
111a7897194
12b9823130
13698571c0
1440288b9a
152721b726
hex193766f4

423061236 has 72 divisors (see below), whose sum is σ = 1156124424. Its totient is φ = 129669120.

The previous prime is 423061231. The next prime is 423061307. The reversal of 423061236 is 632160324.

423061236 is a `hidden beast` number, since 42 + 3 + 0 + 612 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 104652900 + 318408336 = 10230^2 + 17844^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423061231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129900 + ... + 133116.

Almost surely, 2423061236 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 423061236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578062212).

423061236 is an abundant number, since it is smaller than the sum of its proper divisors (733063188).

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

423061236 is a wasteful number, since it uses less digits than its factorization.

423061236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 423061236 is about 20568.4524454321. The cubic root of 423061236 is about 750.7022968336.

The spelling of 423061236 in words is "four hundred twenty-three million, sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 281 468 562 843 1124 1686 2529 3217 3372 3653 5058 6434 7306 9651 10116 10959 12868 14612 19302 21918 28953 32877 38604 41821 43836 57906 65754 83642 115812 125463 131508 167284 250926 376389 501852 752778 903977 1505556 1807954 2711931 3615908 5423862 8135793 10847724 11751701 16271586 23503402 32543172 35255103 47006804 70510206 105765309 141020412 211530618 423061236