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415112324 = 2211173753283
BaseRepresentation
bin11000101111100…
…001110010000100
31001221002220001112
4120233201302010
51322232043244
6105105144152
713200253004
oct3057416204
91057086045
10415112324
111a3358040
12b702b058
13680030c3
143d1ba004
152669b39e
hex18be1c84

415112324 has 96 divisors (see below), whose sum is σ = 881145216. Its totient is φ = 168929280.

The previous prime is 415112279. The next prime is 415112339. The reversal of 415112324 is 423211514.

It is a self number, because there is not a number n which added to its sum of digits gives 415112324.

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 31 ways as a sum of consecutive naturals, for example, 1466687 + ... + 1466969.

It is an arithmetic number, because the mean of its divisors is an integer number (9178596).

Almost surely, 2415112324 is an apocalyptic number.

415112324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

415112324 is an abundant number, since it is smaller than the sum of its proper divisors (466032892).

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

415112324 is a wasteful number, since it uses less digits than its factorization.

415112324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 415112324 is about 20374.3054850957. The cubic root of 415112324 is about 745.9708820007.

Adding to 415112324 its reverse (423211514), we get a palindrome (838323838).

The spelling of 415112324 in words is "four hundred fifteen million, one hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 11 17 22 34 37 44 53 68 74 106 148 187 212 283 374 407 566 583 629 748 814 901 1132 1166 1258 1628 1802 1961 2332 2516 3113 3604 3922 4811 6226 6919 7844 9622 9911 10471 12452 13838 14999 19244 19822 20942 21571 27676 29998 33337 39644 41884 43142 52921 59996 66674 86284 105842 115181 133348 164989 178007 211684 230362 254983 329978 356014 366707 460724 509966 554963 659956 712028 733414 1019932 1109926 1466828 1958077 2219852 2804813 3916154 5609626 6104593 7832308 9434371 11219252 12209186 18868742 24418372 37737484 103778081 207556162 415112324