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414525344 = 2537334729
BaseRepresentation
bin11000101101010…
…010011110100000
31001220000001212112
4120231102132200
51322104302334
6105044414452
713162256462
oct3055223640
91056001775
10414525344
111a2a97032
12b69a7428
1367b58b8c
143d0a6132
15265d24ce
hex18b527a0

414525344 has 24 divisors (see below), whose sum is σ = 818308260. Its totient is φ = 206701056.

The previous prime is 414525341. The next prime is 414525359. The reversal of 414525344 is 443525414.

It can be written as a sum of positive squares in 2 ways, for example, as 376825744 + 37699600 = 19412^2 + 6140^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 414525344.

It is not an unprimeable number, because it can be changed into a prime (414525341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5429 + ... + 29300.

Almost surely, 2414525344 is an apocalyptic number.

It is an amenable number.

414525344 is a deficient number, since it is larger than the sum of its proper divisors (403782916).

414525344 is a wasteful number, since it uses less digits than its factorization.

414525344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35112 (or 35104 counting only the distinct ones).

The product of its digits is 38400, while the sum is 32.

The square root of 414525344 is about 20359.8954810677. The cubic root of 414525344 is about 745.6191085072.

The spelling of 414525344 in words is "four hundred fourteen million, five hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 373 746 1492 2984 5968 11936 34729 69458 138916 277832 555664 1111328 12953917 25907834 51815668 103631336 207262672 414525344