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74306304 = 283232251
BaseRepresentation
bin1000110110111…
…01001100000000
312011211011002100
410123131030000
5123010300204
611212350400
71561410312
oct433351400
9164734070
1074306304
1138a42476
1220a75400
1312518937
149c237b2
1567cba39
hex46dd300

74306304 has 54 divisors (see below), whose sum is σ = 214250036. Its totient is φ = 24768000.

The previous prime is 74306299. The next prime is 74306317. The reversal of 74306304 is 40360347.

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 5 ways as a sum of consecutive naturals, for example, 13822 + ... + 18429.

Almost surely, 274306304 is an apocalyptic number.

74306304 is the 4608-th nonagonal number.

It is an amenable number.

74306304 is an abundant number, since it is smaller than the sum of its proper divisors (139943732).

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

74306304 is a wasteful number, since it uses less digits than its factorization.

74306304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32273 (or 32256 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 74306304 is about 8620.1104401278. The cubic root of 74306304 is about 420.4121125014.

The spelling of 74306304 in words is "seventy-four million, three hundred six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 32251 64502 96753 129004 193506 258008 290259 387012 516016 580518 774024 1032032 1161036 1548048 2064064 2322072 3096096 4128128 4644144 6192192 8256256 9288288 12384384 18576576 24768768 37153152 74306304