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1336020480 = 2934517379
BaseRepresentation
bin100111110100010…
…0000111000000000
310110002221212120000
41033220200320000
510214010123410
6340323320000
745051662304
oct11750407000
93402855500
101336020480
1162616aa63
12313520000
13183a3a382
14c9619d04
157c457dc0
hex4fa20e00

1336020480 has 400 divisors, whose sum is σ = 5080054320. Its totient is φ = 334430208.

The previous prime is 1336020461. The next prime is 1336020487. The reversal of 1336020480 is 840206331.

It is a happy number.

1336020480 is a `hidden beast` number, since 13 + 3 + 602 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336020487) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3524931 + ... + 3525309.

Almost surely, 21336020480 is an apocalyptic number.

1336020480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1336020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540027160).

1336020480 is an abundant number, since it is smaller than the sum of its proper divisors (3744033840).

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

1336020480 is an equidigital number, since it uses as much as digits as its factorization.

1336020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1336020480 is about 36551.6139178559. The cubic root of 1336020480 is about 1101.3813170367.

The spelling of 1336020480 in words is "one billion, three hundred thirty-six million, twenty thousand, four hundred eighty".