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74343744 = 263414341
BaseRepresentation
bin1000110111001…
…10010101000000
312011220001110000
410123212111000
5123012444434
611213240000
71561624416
oct433462500
9164801400
1074343744
1138a68612
1220a93000
131252c9a7
149c332b6
1567d7b99
hex46e6540

74343744 has 70 divisors (see below), whose sum is σ = 220393514. Its totient is φ = 24779520.

The previous prime is 74343727. The next prime is 74343761. The reversal of 74343744 is 44734347.

It is an interprime number because it is at equal distance from previous prime (74343727) and next prime (74343761).

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 32353344 = 6480^2 + 5688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 74343699 and 74343708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1987 + ... + 12354.

Almost surely, 274343744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110196757).

74343744 is an abundant number, since it is smaller than the sum of its proper divisors (146049770).

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

74343744 is a wasteful number, since it uses less digits than its factorization.

74343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14365 (or 14346 counting only the distinct ones).

The product of its digits is 112896, while the sum is 36.

The square root of 74343744 is about 8622.2818325545. The cubic root of 74343744 is about 420.4827103097.

The spelling of 74343744 in words is "seventy-four million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 14341 28682 43023 57364 86046 114728 129069 172092 229456 258138 344184 387207 458912 516276 688368 774414 917824 1032552 1161621 1376736 1548828 2065104 2323242 2753472 3097656 4130208 4646484 6195312 8260416 9292968 12390624 18585936 24781248 37171872 74343744