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673834056 = 23374498933
BaseRepresentation
bin101000001010011…
…110010001001000
31201221221022112220
4220022132101020
52340000142211
6150510334040
722461331530
oct5012362110
91657838486
10673834056
113163a8555
121697ba320
13a97aa59c
14656c64c0
153e254806
hex2829e448

673834056 has 64 divisors (see below), whose sum is σ = 1929744000. Its totient is φ = 192073728.

The previous prime is 673834039. The next prime is 673834061. The reversal of 673834056 is 650438376.

It is a super-2 number, since 2×6738340562 = 908104670050822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 673833999 and 673834017.

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, 70966 + ... + 79898.

It is an arithmetic number, because the mean of its divisors is an integer number (30152250).

Almost surely, 2673834056 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 673834056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964872000).

673834056 is an abundant number, since it is smaller than the sum of its proper divisors (1255909944).

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

673834056 is a wasteful number, since it uses less digits than its factorization.

673834056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9398 (or 9394 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 673834056 is about 25958.3138127267. The cubic root of 673834056 is about 876.6999576448.

The spelling of 673834056 in words is "six hundred seventy-three million, eight hundred thirty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 449 898 1347 1796 2694 3143 3592 5388 6286 8933 9429 10776 12572 17866 18858 25144 26799 35732 37716 53598 62531 71464 75432 107196 125062 187593 214392 250124 375186 500248 750372 1500744 4010917 8021834 12032751 16043668 24065502 28076419 32087336 48131004 56152838 84229257 96262008 112305676 168458514 224611352 336917028 673834056