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416421312 = 2632168861
BaseRepresentation
bin11000110100100…
…001010111000000
31002000120101122120
4120310201113000
51323100440222
6105153204240
713214344206
oct3064412700
91060511576
10416421312
111a407154a
12b7560680
1368370b58
143d43b076
152685915c
hex18d215c0

416421312 has 28 divisors (see below), whose sum is σ = 1101781896. Its totient is φ = 138807040.

The previous prime is 416421293. The next prime is 416421337. The reversal of 416421312 is 213124614.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 1084239 + ... + 1084622.

Almost surely, 2416421312 is an apocalyptic number.

It is an amenable number.

416421312 is an abundant number, since it is smaller than the sum of its proper divisors (685360584).

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

416421312 is a wasteful number, since it uses less digits than its factorization.

416421312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168876 (or 2168866 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 416421312 is about 20406.4037007994. The cubic root of 416421312 is about 746.7541578317.

Adding to 416421312 its reverse (213124614), we get a palindrome (629545926).

The spelling of 416421312 in words is "four hundred sixteen million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2168861 4337722 6506583 8675444 13013166 17350888 26026332 34701776 52052664 69403552 104105328 138807104 208210656 416421312