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1428373440 = 2637513157
BaseRepresentation
bin101010100100011…
…0011111111000000
310200112201220000000
41111020303333000
510411130422230
6353423000000
750252655024
oct12510637700
93615656000
101428373440
1167330911a
1233a439000
13199c042b0
14d79ba384
15855ebb60
hex55233fc0

1428373440 has 448 divisors, whose sum is σ = 5528584320. Its totient is φ = 349360128.

The previous prime is 1428373423. The next prime is 1428373447. The reversal of 1428373440 is 443738241.

1428373440 is a `hidden beast` number, since 142 + 8 + 3 + 73 + 440 = 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 = 1428373395 and 1428373404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428373447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097842 + ... + 9097998.

It is an arithmetic number, because the mean of its divisors is an integer number (12340590).

Almost surely, 21428373440 is an apocalyptic number.

1428373440 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 1428373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764292160).

1428373440 is an abundant number, since it is smaller than the sum of its proper divisors (4100210880).

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

1428373440 is an equidigital number, since it uses as much as digits as its factorization.

1428373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 1428373440 is about 37793.8280675562. The cubic root of 1428373440 is about 1126.1958483910.

The spelling of 1428373440 in words is "one billion, four hundred twenty-eight million, three hundred seventy-three thousand, four hundred forty".