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1336468896 = 2535743571
BaseRepresentation
bin100111110101000…
…1110010110100000
310110010210122200000
41033222032112200
510214114001041
6340341100000
745055540530
oct11752162640
93403718600
101336468896
11626446954
123136b7600
13183b664c9
14c96d54c0
157c4e5bb6
hex4fa8e5a0

1336468896 has 288 divisors, whose sum is σ = 4617220608. Its totient is φ = 372314880.

The previous prime is 1336468891. The next prime is 1336468901. The reversal of 1336468896 is 6988646331.

It is an interprime number because it is at equal distance from previous prime (1336468891) and next prime (1336468901).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13364688962 = 3572298219950917632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (1336468891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340291 + ... + 2340861.

It is an arithmetic number, because the mean of its divisors is an integer number (16032016).

Almost surely, 21336468896 is an apocalyptic number.

1336468896 is a gapful number since it is divisible by the number (16) 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 1336468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308610304).

1336468896 is an abundant number, since it is smaller than the sum of its proper divisors (3280751712).

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

1336468896 is an equidigital number, since it uses as much as digits as its factorization.

1336468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 1336468896 is about 36557.7474141939. The cubic root of 1336468896 is about 1101.5045241701.

The spelling of 1336468896 in words is "one billion, three hundred thirty-six million, four hundred sixty-eight thousand, eight hundred ninety-six".