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73490304 = 273971973
BaseRepresentation
bin1000110000101…
…01111110000000
312010021200202010
410120111332000
5122303142204
611143052520
71551441306
oct430257600
9163250663
1073490304
1138535398
1220741140
13122c13b4
149a90276
1566b9d89
hex4615f80

73490304 has 64 divisors (see below), whose sum is σ = 197321040. Its totient is φ = 24231936.

The previous prime is 73490279. The next prime is 73490363. The reversal of 73490304 is 40309437.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 36262 + ... + 38234.

Almost surely, 273490304 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 73490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98660520).

73490304 is an abundant number, since it is smaller than the sum of its proper divisors (123830736).

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

73490304 is a wasteful number, since it uses less digits than its factorization.

73490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 73490304 is about 8572.6485988870. The cubic root of 73490304 is about 418.8675160190.

The spelling of 73490304 in words is "seventy-three million, four hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 291 384 388 582 776 1164 1552 1973 2328 3104 3946 4656 5919 6208 7892 9312 11838 12416 15784 18624 23676 31568 37248 47352 63136 94704 126272 189408 191381 252544 378816 382762 574143 757632 765524 1148286 1531048 2296572 3062096 4593144 6124192 9186288 12248384 18372576 24496768 36745152 73490304