Search a number
-
+
673866648 = 233371334283
BaseRepresentation
bin101000001010100…
…110001110011000
31201221222222021000
4220022212032120
52340002213043
6150511145000
722461525540
oct5012461630
91657888230
10673866648
1131641aa94
12169815160
13a97bc380
14656d4320
153e25e2d3
hex282a6398

673866648 has 128 divisors (see below), whose sum is σ = 2303884800. Its totient is φ = 177717888.

The previous prime is 673866619. The next prime is 673866653. The reversal of 673866648 is 846668376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 673866594 and 673866603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2515 + ... + 36797.

It is an arithmetic number, because the mean of its divisors is an integer number (17999100).

Almost surely, 2673866648 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 673866648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151942400).

673866648 is an abundant number, since it is smaller than the sum of its proper divisors (1630018152).

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

673866648 is a wasteful number, since it uses less digits than its factorization.

673866648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34318 (or 34308 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 673866648 is about 25958.9415808888. The cubic root of 673866648 is about 876.7140921557.

The spelling of 673866648 in words is "six hundred seventy-three million, eight hundred sixty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 34283 68566 102849 137132 205698 239981 274264 308547 411396 445679 479962 617094 719943 822792 891358 925641 959924 1234188 1337037 1439886 1782716 1851282 1919848 2159829 2468376 2674074 2879772 3119753 3565432 3702564 4011111 4319658 5348148 5759544 6239506 6479487 7405128 8022222 8639316 9359259 10696296 12033333 12479012 12958974 16044444 17278632 18718518 24066666 24958024 25917948 28077777 32088888 37437036 48133332 51835896 56155554 74874072 84233331 96266664 112311108 168466662 224622216 336933324 673866648