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1350358128 = 24347473167
BaseRepresentation
bin101000001111100…
…1101010001110000
310111002221022010000
41100133031101300
510231142430003
6341554510000
745314566110
oct12037152160
93432838100
101350358128
11633273059
12318295300
131869ba3a2
14cb4ad040
157d83b1a3
hex507cd470

1350358128 has 200 divisors, whose sum is σ = 4563136512. Its totient is φ = 377488512.

The previous prime is 1350358091. The next prime is 1350358151. The reversal of 1350358128 is 8218530531.

1350358128 is a `hidden beast` number, since 1 + 3 + 50 + 3 + 581 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1350358092 and 1350358101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424801 + ... + 427967.

Almost surely, 21350358128 is an apocalyptic number.

1350358128 is a gapful number since it is divisible by the number (18) 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 1350358128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281568256).

1350358128 is an abundant number, since it is smaller than the sum of its proper divisors (3212778384).

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

1350358128 is a wasteful number, since it uses less digits than its factorization.

1350358128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3241 (or 3226 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1350358128 is about 36747.2193233719. The cubic root of 1350358128 is about 1105.3071709390.

Adding to 1350358128 its reverse (8218530531), we get a palindrome (9568888659).

It can be divided in two parts, 13503 and 58128, that added together give a triangular number (71631 = T378).

The spelling of 1350358128 in words is "one billion, three hundred fifty million, three hundred fifty-eight thousand, one hundred twenty-eight".