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416423064 = 233292232683
BaseRepresentation
bin11000110100100…
…001110010011000
31002000120111001110
4120310201302120
51323101014224
6105153220320
713214352261
oct3064416230
91060514043
10416423064
111a40728a2
12b75616a0
13683718a5
143d43b968
1526859929
hex18d21c98

416423064 has 64 divisors (see below), whose sum is σ = 1082188800. Its totient is φ = 133370496.

The previous prime is 416423047. The next prime is 416423071. The reversal of 416423064 is 460324614.

It is a super-2 number, since 2×4164230642 = 346816336462296192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153867 + ... + 156549.

It is an arithmetic number, because the mean of its divisors is an integer number (16909200).

Almost surely, 2416423064 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 416423064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541094400).

416423064 is an abundant number, since it is smaller than the sum of its proper divisors (665765736).

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

416423064 is a wasteful number, since it uses less digits than its factorization.

416423064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 416423064 is about 20406.4466284554. The cubic root of 416423064 is about 746.7552050975.

Adding to 416423064 its reverse (460324614), we get a palindrome (876747678).

The spelling of 416423064 in words is "four hundred sixteen million, four hundred twenty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 223 232 348 446 669 696 892 1338 1784 2676 2683 5352 5366 6467 8049 10732 12934 16098 19401 21464 25868 32196 38802 51736 64392 77604 77807 155208 155614 233421 311228 466842 598309 622456 933684 1196618 1794927 1867368 2393236 3589854 4786472 7179708 14359416 17350961 34701922 52052883 69403844 104105766 138807688 208211532 416423064