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74240064 = 263414321
BaseRepresentation
bin1000110110011…
…01000001000000
312011200210020000
410123031001000
5123001140224
611211120000
71561013223
oct433150100
9164623200
1074240064
11389a7728
1220a43000
13124c4742
149c075ba
1567b70c9
hex46cd040

74240064 has 70 divisors (see below), whose sum is σ = 220086174. Its totient is φ = 24744960.

The previous prime is 74240057. The next prime is 74240077. The reversal of 74240064 is 46004247.

It can be written as a sum of positive squares in only one way, i.e., 41062464 + 33177600 = 6408^2 + 5760^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1977 + ... + 12344.

Almost surely, 274240064 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 74240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110043087).

74240064 is an abundant number, since it is smaller than the sum of its proper divisors (145846110).

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

74240064 is a wasteful number, since it uses less digits than its factorization.

74240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14345 (or 14326 counting only the distinct ones).

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

The square root of 74240064 is about 8616.2674053212. The cubic root of 74240064 is about 420.2871505715.

The spelling of 74240064 in words is "seventy-four million, two hundred forty thousand, sixty-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 14321 28642 42963 57284 85926 114568 128889 171852 229136 257778 343704 386667 458272 515556 687408 773334 916544 1031112 1160001 1374816 1546668 2062224 2320002 2749632 3093336 4124448 4640004 6186672 8248896 9280008 12373344 18560016 24746688 37120032 74240064