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1354471328 = 257417261
BaseRepresentation
bin101000010111011…
…1001011110100000
310111101200021100202
41100232321132200
510233221040303
6342223004332
745364550000
oct12056713640
93441607322
101354471328
116356223a1
123197396a8
131877ca632
14cbc60000
157dd9ec88
hex50bb97a0

1354471328 has 180 divisors, whose sum is σ = 3358796742. Its totient is φ = 537384960.

The previous prime is 1354471309. The next prime is 1354471381. The reversal of 1354471328 is 8231744531.

It can be written as a sum of positive squares in 3 ways, for example, as 1149752464 + 204718864 = 33908^2 + 14308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1354471291 and 1354471300.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 22204418 + ... + 22204478.

Almost surely, 21354471328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354471328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679398371).

1354471328 is an abundant number, since it is smaller than the sum of its proper divisors (2004325414).

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

1354471328 is an frugal number, since it uses more digits than its factorization.

1354471328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 87 counting only the distinct ones).

The product of its digits is 80640, while the sum is 38.

The square root of 1354471328 is about 36803.1429092680. The cubic root of 1354471328 is about 1106.4282911038.

The spelling of 1354471328 in words is "one billion, three hundred fifty-four million, four hundred seventy-one thousand, three hundred twenty-eight".