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74230464 = 2637115021
BaseRepresentation
bin1000110110010…
…10101011000000
312011200022001110
410123022223000
5123000333324
611211003320
71560643230
oct433125300
9164608043
1074230464
11389a04a0
1220a39540
13124c0269
149c03cc0
1567b4329
hex46caac0

74230464 has 112 divisors (see below), whose sum is σ = 244912896. Its totient is φ = 19276800.

The previous prime is 74230463. The next prime is 74230477. The reversal of 74230464 is 46403247.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (74230463) 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 15 ways as a sum of consecutive naturals, for example, 12274 + ... + 17294.

Almost surely, 274230464 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 74230464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

74230464 is an abundant number, since it is smaller than the sum of its proper divisors (170682432).

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

74230464 is a wasteful number, since it uses less digits than its factorization.

74230464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 74230464 is about 8615.7103015364. The cubic root of 74230464 is about 420.2690339808.

The spelling of 74230464 in words is "seventy-four million, two hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 5021 7392 10042 14784 15063 20084 30126 35147 40168 55231 60252 70294 80336 105441 110462 120504 140588 160672 165693 210882 220924 241008 281176 321344 331386 386617 421764 441848 482016 562352 662772 773234 843528 883696 964032 1124704 1159851 1325544 1546468 1687056 1767392 2249408 2319702 2651088 3092936 3374112 3534784 4639404 5302176 6185872 6748224 9278808 10604352 12371744 18557616 24743488 37115232 74230464