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1326226464 = 25324604953
BaseRepresentation
bin100111100001100…
…1001110000100000
310102102112021200200
41033003021300200
510204003221324
6335333345200
744602511313
oct11703116040
93372467620
101326226464
11620690632
12310198200
131819bb4b4
14c81ca97a
157b670ec9
hex4f0c9c20

1326226464 has 36 divisors (see below), whose sum is σ = 3771457326. Its totient is φ = 442075392.

The previous prime is 1326226453. The next prime is 1326226471. The reversal of 1326226464 is 4646226231.

1326226464 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 2 + 2 + 646 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1004382864 + 321843600 = 31692^2 + 17940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2302189 + ... + 2302764.

Almost surely, 21326226464 is an apocalyptic number.

It is an amenable number.

1326226464 is an abundant number, since it is smaller than the sum of its proper divisors (2445230862).

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

1326226464 is a wasteful number, since it uses less digits than its factorization.

1326226464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4604969 (or 4604958 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 1326226464 is about 36417.3923283917. The cubic root of 1326226464 is about 1098.6834010894.

The spelling of 1326226464 in words is "one billion, three hundred twenty-six million, two hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4604953 9209906 13814859 18419812 27629718 36839624 41444577 55259436 73679248 82889154 110518872 147358496 165778308 221037744 331556616 442075488 663113232 1326226464