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412335104 = 2103710883
BaseRepresentation
bin11000100100111…
…011110000000000
31001201212210102112
4120210323300000
51321024210404
6104525434452
713134535106
oct3044736000
91051783375
10412335104
111a1830515
12b610ba28
136756cc8c
143ca95c76
15262ed56e
hex1893bc00

412335104 has 44 divisors (see below), whose sum is σ = 846622824. Its totient is φ = 200577024.

The previous prime is 412335083. The next prime is 412335107. The reversal of 412335104 is 401533214.

It is a self number, because there is not a number n which added to its sum of digits gives 412335104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412335107) 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 3 ways as a sum of consecutive naturals, for example, 32447 + ... + 43329.

Almost surely, 2412335104 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 412335104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423311412).

412335104 is an abundant number, since it is smaller than the sum of its proper divisors (434287720).

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

412335104 is a wasteful number, since it uses less digits than its factorization.

412335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10922 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 412335104 is about 20306.0361469195. The cubic root of 412335104 is about 744.3035721132.

Adding to 412335104 its reverse (401533214), we get a palindrome (813868318).

The spelling of 412335104 in words is "four hundred twelve million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 9472 10883 18944 21766 37888 43532 87064 174128 348256 402671 696512 805342 1393024 1610684 2786048 3221368 5572096 6442736 11144192 12885472 25770944 51541888 103083776 206167552 412335104