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74274336 = 2532298893
BaseRepresentation
bin1000110110101…
…01011000100000
312011202112020100
410123111120200
5123003234321
611211542400
71561215153
oct433253040
9164675210
1074274336
1138a20454
1220a5aa00
1312507216
149c15c9a
1567c2326
hex46d5620

74274336 has 72 divisors (see below), whose sum is σ = 218525580. Its totient is φ = 23901696.

The previous prime is 74274331. The next prime is 74274349. The reversal of 74274336 is 63347247.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71571600 + 2702736 = 8460^2 + 1644^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 74274336.

It is not an unprimeable number, because it can be changed into a prime (74274331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3906 + ... + 12798.

Almost surely, 274274336 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 74274336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109262790).

74274336 is an abundant number, since it is smaller than the sum of its proper divisors (144251244).

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

74274336 is a wasteful number, since it uses less digits than its factorization.

74274336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8938 (or 8927 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 74274336 is about 8618.2559720630. The cubic root of 74274336 is about 420.3518140633.

It can be divided in two parts, 742 and 74336, that added together give a triangular number (75078 = T387).

The spelling of 74274336 in words is "seventy-four million, two hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 8893 17786 26679 35572 53358 71144 80037 106716 142288 160074 213432 257897 284576 320148 426864 515794 640296 773691 853728 1031588 1280592 1547382 2063176 2321073 2561184 3094764 4126352 4642146 6189528 8252704 9284292 12379056 18568584 24758112 37137168 74274336