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74424000 = 263537443
BaseRepresentation
bin1000110111110…
…01111011000000
312012001010112110
410123321323000
5123023032000
611215055320
71562410410
oct433717300
9165033473
1074424000
1139012942
1220b11540
131255a391
149c54640
156801850
hex46f9ec0

74424000 has 224 divisors, whose sum is σ = 281488896. Its totient is φ = 16972800.

The previous prime is 74423981. The next prime is 74424019. The reversal of 74424000 is 42447.

It is an interprime number because it is at equal distance from previous prime (74423981) and next prime (74424019).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167779 + ... + 168221.

Almost surely, 274424000 is an apocalyptic number.

74424000 is a gapful number since it is divisible by the number (70) 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 74424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140744448).

74424000 is an abundant number, since it is smaller than the sum of its proper divisors (207064896).

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

74424000 is a wasteful number, since it uses less digits than its factorization.

74424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 74424000 is about 8626.9345656496. The cubic root of 74424000 is about 420.6339632264.

Adding to 74424000 its reverse (42447), we get a palindrome (74466447).

The spelling of 74424000 in words is "seventy-four million, four hundred twenty-four thousand".