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74424168 = 233271337307
BaseRepresentation
bin1000110111110…
…01111101101000
312012001010202200
410123321331220
5123023033133
611215100200
71562411040
oct433717550
9165033680
1074424168
1139012a85
1220b11660
131255a490
149c54720
156801913
hex46f9f68

74424168 has 192 divisors, whose sum is σ = 255615360. Its totient is φ = 19035648.

The previous prime is 74424167. The next prime is 74424169. The reversal of 74424168 is 86142447.

74424168 is a `hidden beast` number, since 74 + 424 + 168 = 666.

It is an interprime number because it is at equal distance from previous prime (74424167) and next prime (74424169).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (74424167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242271 + ... + 242577.

It is an arithmetic number, because the mean of its divisors is an integer number (1331330).

Almost surely, 274424168 is an apocalyptic number.

74424168 is a gapful number since it is divisible by the number (78) 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 74424168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127807680).

74424168 is an abundant number, since it is smaller than the sum of its proper divisors (181191192).

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

74424168 is a wasteful number, since it uses less digits than its factorization.

74424168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 74424168 is about 8626.9443025906. The cubic root of 74424168 is about 420.6342797302.

The spelling of 74424168 in words is "seventy-four million, four hundred twenty-four thousand, one hundred sixty-eight".