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1346647680 = 2735571237
BaseRepresentation
bin101000001000100…
…0011011010000000
310110211221210100000
41100101003122000
510224220211210
6341343200000
745241213350
oct12021033200
93424853300
101346647680
11631169374
12316ba6000
13185cbb561
14cabc4b60
157d356ac0
hex50443680

1346647680 has 384 divisors, whose sum is σ = 5515735680. Its totient is φ = 307556352.

The previous prime is 1346647669. The next prime is 1346647681. The reversal of 1346647680 is 867466431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346647681) 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, 1088022 + ... + 1089258.

It is an arithmetic number, because the mean of its divisors is an integer number (14363895).

Almost surely, 21346647680 is an apocalyptic number.

1346647680 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 1346647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757867840).

1346647680 is an abundant number, since it is smaller than the sum of its proper divisors (4169088000).

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

1346647680 is an equidigital number, since it uses as much as digits as its factorization.

1346647680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 1346647680 is about 36696.6984891012. The cubic root of 1346647680 is about 1104.2938726181.

The spelling of 1346647680 in words is "one billion, three hundred forty-six million, six hundred forty-seven thousand, six hundred eighty".