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414426064 = 24131992433
BaseRepresentation
bin11000101100111…
…010001111010000
31001212211000200111
4120230322033100
51322043113224
6105042331104
713161364153
oct3054721720
91055730614
10414426064
111a2a29488
12b6959a94
1367b22930
143d07bc9a
15265b2d94
hex18b3a3d0

414426064 has 20 divisors (see below), whose sum is σ = 864716356. Its totient is φ = 191273472.

The previous prime is 414426059. The next prime is 414426079. The reversal of 414426064 is 460624414.

It can be written as a sum of positive squares in 2 ways, for example, as 221771664 + 192654400 = 14892^2 + 13880^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 996009 + ... + 996424.

Almost surely, 2414426064 is an apocalyptic number.

It is an amenable number.

414426064 is an abundant number, since it is smaller than the sum of its proper divisors (450290292).

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

414426064 is a wasteful number, since it uses less digits than its factorization.

414426064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992454 (or 1992448 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 414426064 is about 20357.4572086005. The cubic root of 414426064 is about 745.5595777879.

The spelling of 414426064 in words is "four hundred fourteen million, four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 52 104 208 1992433 3984866 7969732 15939464 25901629 31878928 51803258 103606516 207213032 414426064