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673456032 = 25379623
BaseRepresentation
bin101000001001000…
…001111110100000
31201221020010000000
4220021001332200
52334401043112
6150454300000
722455165444
oct5011017640
91657203000
10673456032
1131616a537
12169657600
13a96a74c2
1465628824
153e1cc7dc
hex28241fa0

673456032 has 96 divisors (see below), whose sum is σ = 1988703360. Its totient is φ = 224462016.

The previous prime is 673456027. The next prime is 673456051. The reversal of 673456032 is 230654376.

673456032 is a `hidden beast` number, since 6 + 7 + 3 + 45 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 65173 + ... + 74795.

It is an arithmetic number, because the mean of its divisors is an integer number (20715660).

Almost surely, 2673456032 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 673456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994351680).

673456032 is an abundant number, since it is smaller than the sum of its proper divisors (1315247328).

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

673456032 is an frugal number, since it uses more digits than its factorization.

673456032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9628 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 673456032 is about 25951.0314245889. The cubic root of 673456032 is about 876.5359827432.

The spelling of 673456032 in words is "six hundred seventy-three million, four hundred fifty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 7776 8748 9623 11664 17496 19246 23328 28869 34992 38492 57738 69984 76984 86607 115476 153968 173214 230952 259821 307936 346428 461904 519642 692856 779463 923808 1039284 1385712 1558926 2078568 2338389 2771424 3117852 4157136 4676778 6235704 7015167 8314272 9353556 12471408 14030334 18707112 21045501 24942816 28060668 37414224 42091002 56121336 74828448 84182004 112242672 168364008 224485344 336728016 673456032