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1450348416 = 273811157
BaseRepresentation
bin101011001110010…
…1000111110000000
310202002002100000000
41112130220332000
510432242122131
6355530000000
750640521016
oct12634507600
93662070000
101450348416
11684758260
12345876000
131a162963a
14da89a8b6
15874dcce6
hex56728f80

1450348416 has 288 divisors, whose sum is σ = 4757926680. Its totient is φ = 436700160.

The previous prime is 1450348381. The next prime is 1450348469. The reversal of 1450348416 is 6148430541.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9237810 + ... + 9237966.

Almost surely, 21450348416 is an apocalyptic number.

1450348416 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 1450348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378963340).

1450348416 is an abundant number, since it is smaller than the sum of its proper divisors (3307578264).

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

1450348416 is an frugal number, since it uses more digits than its factorization.

1450348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1450348416 is about 38083.4401807400. The cubic root of 1450348416 is about 1131.9418450398.

Adding to 1450348416 its reverse (6148430541), we get a palindrome (7598778957).

It can be divided in two parts, 1450 and 348416, that added together give a triangular number (349866 = T836).

The spelling of 1450348416 in words is "one billion, four hundred fifty million, three hundred forty-eight thousand, four hundred sixteen".