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415412334 = 2337692821
BaseRepresentation
bin11000110000101…
…011000001101110
31001221200010121000
4120300223001232
51322321143314
6105115421130
713202642451
oct3060530156
91057603530
10415412334
111a3542487
12b71547a6
13680a981c
143d257498
152670a209
hex18c2b06e

415412334 has 16 divisors (see below), whose sum is σ = 923138640. Its totient is φ = 138470760.

The previous prime is 415412321. The next prime is 415412351. The reversal of 415412334 is 433214514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 415412298 and 415412307.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3846357 + ... + 3846464.

It is an arithmetic number, because the mean of its divisors is an integer number (57696165).

Almost surely, 2415412334 is an apocalyptic number.

415412334 is an abundant number, since it is smaller than the sum of its proper divisors (507726306).

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

415412334 is a wasteful number, since it uses less digits than its factorization.

415412334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7692832 (or 7692826 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 415412334 is about 20381.6666148772. Note that the first 4 decimals coincide. The cubic root of 415412334 is about 746.1505480962.

Adding to 415412334 its reverse (433214514), we get a palindrome (848626848).

The spelling of 415412334 in words is "four hundred fifteen million, four hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 7692821 15385642 23078463 46156926 69235389 138470778 207706167 415412334