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74142432 = 25337132341
BaseRepresentation
bin1000110101101…
…01001011100000
312011111211022000
410122311023200
5122440024212
611205044000
71560125460
oct432651340
9164454260
1074142432
1138940341
12209b6600
131248c180
149bbdba0
1567981dc
hex46b52e0

74142432 has 384 divisors, whose sum is σ = 284497920. Its totient is φ = 18247680.

The previous prime is 74142403. The next prime is 74142433. The reversal of 74142432 is 23424147.

74142432 is a `hidden beast` number, since 7 + 414 + 243 + 2 = 666.

It is a super-3 number, since 3×741424323 (a number of 25 digits) contains 333 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 74142396 and 74142405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74142433) 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, 1808332 + ... + 1808372.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 274142432 is an apocalyptic number.

74142432 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 74142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

74142432 is an abundant number, since it is smaller than the sum of its proper divisors (210355488).

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

74142432 is a wasteful number, since it uses less digits than its factorization.

74142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 74142432 is about 8610.5999790955. The cubic root of 74142432 is about 420.1028319636.

Adding to 74142432 its reverse (23424147), we get a palindrome (97566579).

The spelling of 74142432 in words is "seventy-four million, one hundred forty-two thousand, four hundred thirty-two".