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1385237376 = 27342337157
BaseRepresentation
bin101001010010001…
…0000101110000000
310120112120100110000
41102210100232000
510314110044001
6345242240000
746220215635
oct12244205600
93515510400
101385237376
11650a26386
12327ab6000
13190cb01b3
14d1d8c18c
158192aa86
hex52910b80

1385237376 has 320 divisors, whose sum is σ = 4446082080. Its totient is φ = 426995712.

The previous prime is 1385237369. The next prime is 1385237417. The reversal of 1385237376 is 6737325831.

1385237376 is a `hidden beast` number, since 1 + 385 + 237 + 37 + 6 = 666.

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, 8823090 + ... + 8823246.

Almost surely, 21385237376 is an apocalyptic number.

1385237376 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 1385237376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223041040).

1385237376 is an abundant number, since it is smaller than the sum of its proper divisors (3060844704).

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

1385237376 is a wasteful number, since it uses less digits than its factorization.

1385237376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 1385237376 is about 37218.7771964636. Note that the first 3 decimals coincide. The cubic root of 1385237376 is about 1114.7429481105.

The spelling of 1385237376 in words is "one billion, three hundred eighty-five million, two hundred thirty-seven thousand, three hundred seventy-six".