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1384570440 = 233251117131157
BaseRepresentation
bin101001010000110…
…1101111001001000
310120111022110120200
41102201231321020
510313422223230
6345220052200
746211440341
oct12241557110
93514273520
101384570440
116506102a0
12327834060
13190b08766
14d1c570c8
1581848160
hex5286de48

1384570440 has 384 divisors, whose sum is σ = 5270728320. Its totient is φ = 311500800.

The previous prime is 1384570417. The next prime is 1384570469. The reversal of 1384570440 is 440754831.

1384570440 is a `hidden beast` number, since 1 + 3 + 84 + 570 + 4 + 4 + 0 = 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 = 1384570395 and 1384570404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8818842 + ... + 8818998.

It is an arithmetic number, because the mean of its divisors is an integer number (13725855).

Almost surely, 21384570440 is an apocalyptic number.

1384570440 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 1384570440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635364160).

1384570440 is an abundant number, since it is smaller than the sum of its proper divisors (3886157880).

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

1384570440 is a wasteful number, since it uses less digits than its factorization.

1384570440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1384570440 is about 37209.8164467389. The cubic root of 1384570440 is about 1114.5640181154.

The spelling of 1384570440 in words is "one billion, three hundred eighty-four million, five hundred seventy thousand, four hundred forty".