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468441344 = 287261407
BaseRepresentation
bin11011111010111…
…101100100000000
31012122110021201102
4123322331210000
51424410110334
6114252153532
714415454130
oct3372754400
91178407642
10468441344
11220471a08
12110a688a8
1376085837
14462dcac0
152b1d267e
hex1bebd900

468441344 has 36 divisors (see below), whose sum is σ = 1068635904. Its totient is φ = 200759808.

The previous prime is 468441329. The next prime is 468441377. The reversal of 468441344 is 443144864.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 468441298 and 468441307.

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, 128912 + ... + 132495.

Almost surely, 2468441344 is an apocalyptic number.

It is an amenable number.

468441344 is an abundant number, since it is smaller than the sum of its proper divisors (600194560).

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

468441344 is an equidigital number, since it uses as much as digits as its factorization.

468441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261430 (or 261416 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The square root of 468441344 is about 21643.5058158331. The cubic root of 468441344 is about 776.6375884373.

The spelling of 468441344 in words is "four hundred sixty-eight million, four hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 261407 522814 1045628 1829849 2091256 3659698 4182512 7319396 8365024 14638792 16730048 29277584 33460096 58555168 66920192 117110336 234220672 468441344