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1423477440 = 263257311131
BaseRepresentation
bin101010011011000…
…1000101011000000
310200012112010221200
41110312020223000
510403402234230
6353130021200
750163234000
oct12466105300
93605463850
101423477440
11670574740
12338877800
13198bab958
14d70a4000
1584e81160
hex54d88ac0

1423477440 has 672 divisors, whose sum is σ = 6276441600. Its totient is φ = 293529600.

The previous prime is 1423477423. The next prime is 1423477463. The reversal of 1423477440 is 447743241.

It is a happy number.

1423477440 is a `hidden beast` number, since 142 + 3 + 4 + 77 + 440 = 666.

It is a Cunningham number, because it is equal to 377292-1.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1423477395 and 1423477404.

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, 10866175 + ... + 10866305.

Almost surely, 21423477440 is an apocalyptic number.

1423477440 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 1423477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138220800).

1423477440 is an abundant number, since it is smaller than the sum of its proper divisors (4852964160).

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

1423477440 is a wasteful number, since it uses less digits than its factorization.

1423477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 1423477440 is about 37728.9999867476. Note that the first 4 decimals coincide. The cubic root of 1423477440 is about 1124.9076309347.

The spelling of 1423477440 in words is "one billion, four hundred twenty-three million, four hundred seventy-seven thousand, four hundred forty".