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74354112 = 26357683
BaseRepresentation
bin1000110111010…
…00110111000000
312011220120200000
410123220313000
5123013312422
611213400000
71561666560
oct433506700
9164816600
1074354112
1138a75388
1220a99000
1312534621
149c36da0
1567dacac
hex46e8dc0

74354112 has 168 divisors, whose sum is σ = 252959616. Its totient is φ = 21212928.

The previous prime is 74354081. The next prime is 74354131. The reversal of 74354112 is 21145347.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108523 + ... + 109205.

It is an arithmetic number, because the mean of its divisors is an integer number (1505712).

Almost surely, 274354112 is an apocalyptic number.

74354112 is a gapful number since it is divisible by the number (72) 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 74354112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126479808).

74354112 is an abundant number, since it is smaller than the sum of its proper divisors (178605504).

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

74354112 is an equidigital number, since it uses as much as digits as its factorization.

74354112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 74354112 is about 8622.8830445507. The cubic root of 74354112 is about 420.5022562811.

Adding to 74354112 its reverse (21145347), we get a palindrome (95499459).

The spelling of 74354112 in words is "seventy-four million, three hundred fifty-four thousand, one hundred twelve".