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1374900480 = 2834589149
BaseRepresentation
bin101000111110011…
…0101000100000000
310112211010011220000
41101330311010000
510303433303410
6344232520000
746033314132
oct12174650400
93484104800
101374900480
11646106098
12324550000
1318bb011a5
14d085b052
1580a87dc0
hex51f35100

1374900480 has 360 divisors, whose sum is σ = 5008311000. Its totient is φ = 360087552.

The previous prime is 1374900473. The next prime is 1374900481. The reversal of 1374900480 is 840094731.

It is a happy number.

1374900480 is a `hidden beast` number, since 137 + 49 + 0 + 0 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5308416 + 1369592064 = 2304^2 + 37008^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (1374900481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9227446 + ... + 9227594.

It is an arithmetic number, because the mean of its divisors is an integer number (13911975).

Almost surely, 21374900480 is an apocalyptic number.

1374900480 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 1374900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504155500).

1374900480 is an abundant number, since it is smaller than the sum of its proper divisors (3633410520).

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

1374900480 is an equidigital number, since it uses as much as digits as its factorization.

1374900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1374900480 is about 37079.6504837896. The cubic root of 1374900480 is about 1111.9632166982.

The spelling of 1374900480 in words is "one billion, three hundred seventy-four million, nine hundred thousand, four hundred eighty".