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673387440 = 243511255071
BaseRepresentation
bin101000001000110…
…001001110110000
31201221002121220120
4220020301032300
52334341344230
6150453010240
722454461455
oct5010611660
91657077816
10673387440
11316122a50
12169623980
13a968220b
146560b82c
153e1b7310
hex282313b0

673387440 has 80 divisors (see below), whose sum is σ = 2277282816. Its totient is φ = 163244800.

The previous prime is 673387411. The next prime is 673387441. The reversal of 673387440 is 44783376.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 673387392 and 673387401.

It is not an unprimeable number, because it can be changed into a prime (673387441) 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, 124896 + ... + 130175.

Almost surely, 2673387440 is an apocalyptic number.

673387440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

673387440 is an abundant number, since it is smaller than the sum of its proper divisors (1603895376).

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

673387440 is a wasteful number, since it uses less digits than its factorization.

673387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255098 (or 255092 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 673387440 is about 25949.7098249672. The cubic root of 673387440 is about 876.5062231180.

The spelling of 673387440 in words is "six hundred seventy-three million, three hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 255071 510142 765213 1020284 1275355 1530426 2040568 2550710 2805781 3060852 3826065 4081136 5101420 5611562 6121704 7652130 8417343 10202840 11223124 12243408 14028905 15304260 16834686 20405680 22446248 28057810 30608520 33669372 42086715 44892496 56115620 61217040 67338744 84173430 112231240 134677488 168346860 224462480 336693720 673387440