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74316336 = 24373127167
BaseRepresentation
bin1000110110111…
…11101000110000
312011211122211220
410123133220300
5123011110321
611212505040
71561451463
oct433375060
9164748756
1074316336
1138a49a66
1220a7b180
1312520383
149c272da
1567ce9c6
hex46dfa30

74316336 has 80 divisors (see below), whose sum is σ = 197320704. Its totient is φ = 24095232.

The previous prime is 74316317. The next prime is 74316337. The reversal of 74316336 is 63361347.

74316336 is nontrivially palindromic in base 5.

74316336 is a nontrivial binomial coefficient, being equal to C(12192, 2).

Its product of digits (27216) is a multiple of the sum of its prime factors (378).

It is a junction number, because it is equal to n+sod(n) for n = 74316297 and 74316306.

It is not an unprimeable number, because it can be changed into a prime (74316337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444925 + ... + 445091.

Almost surely, 274316336 is an apocalyptic number.

74316336 is the 12191-st triangular number and also the 6096-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74316336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98660352).

74316336 is an abundant number, since it is smaller than the sum of its proper divisors (123004368).

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

74316336 is a wasteful number, since it uses less digits than its factorization.

74316336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 372 counting only the distinct ones).

The product of its digits is 27216, while the sum is 33.

The square root of 74316336 is about 8620.6923155858. The cubic root of 74316336 is about 420.4310314190.

It can be divided in two parts, 74 and 316336, that added together give a triangular number (316410 = T795).

The spelling of 74316336 in words is "seventy-four million, three hundred sixteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 127 146 167 219 254 292 334 381 438 501 508 584 668 762 876 1002 1016 1168 1336 1524 1752 2004 2032 2672 3048 3504 4008 6096 8016 9271 12191 18542 21209 24382 27813 36573 37084 42418 48764 55626 63627 73146 74168 84836 97528 111252 127254 146292 148336 169672 195056 222504 254508 292584 339344 445008 509016 585168 1018032 1548257 3096514 4644771 6193028 9289542 12386056 18579084 24772112 37158168 74316336