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413420424 = 23361282391
BaseRepresentation
bin11000101001000…
…100101110001000
31001210220221012120
4120221010232020
51321313423144
6105005011240
713150005234
oct3051045610
91053827176
10413420424
111a240197a
12b6553b20
136785cc91
143cc995c4
1526464e19
hex18a44b88

413420424 has 32 divisors (see below), whose sum is σ = 1050498240. Its totient is φ = 135547200.

The previous prime is 413420419. The next prime is 413420429. The reversal of 413420424 is 424024314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413420419) and next prime (413420429).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 413420394 and 413420403.

It is not an unprimeable number, because it can be changed into a prime (413420429) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 139732 + ... + 142659.

It is an arithmetic number, because the mean of its divisors is an integer number (32828070).

Almost surely, 2413420424 is an apocalyptic number.

It is an amenable number.

413420424 is an abundant number, since it is smaller than the sum of its proper divisors (637077816).

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

413420424 is a wasteful number, since it uses less digits than its factorization.

413420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282461 (or 282457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 413420424 is about 20332.7426580872. The cubic root of 413420424 is about 744.9560348212.

Adding to 413420424 its reverse (424024314), we get a palindrome (837444738).

The spelling of 413420424 in words is "four hundred thirteen million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464 282391 564782 847173 1129564 1694346 2259128 3388692 6777384 17225851 34451702 51677553 68903404 103355106 137806808 206710212 413420424