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673040376 = 233247593371
BaseRepresentation
bin101000000111011…
…100011111111000
31201220102222211100
4220013130133320
52334244243001
6150441331400
722451514561
oct5007343770
91656388740
10673040376
11315a06218
12169496b60
13a9590258
146555b168
153e149586
hex281dc7f8

673040376 has 96 divisors (see below), whose sum is σ = 1893715200. Its totient is φ = 215787840.

The previous prime is 673040351. The next prime is 673040377.

673040376 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 673040376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673040377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197971 + ... + 201341.

It is an arithmetic number, because the mean of its divisors is an integer number (19726200).

Almost surely, 2673040376 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 673040376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946857600).

673040376 is an abundant number, since it is smaller than the sum of its proper divisors (1220674824).

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

673040376 is a wasteful number, since it uses less digits than its factorization.

673040376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 673040376 is about 25943.0217206863. The cubic root of 673040376 is about 876.3556134219.

The spelling of 673040376 in words is "six hundred seventy-three million, forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 59 72 94 118 141 177 188 236 282 354 376 423 472 531 564 708 846 1062 1128 1416 1692 2124 2773 3371 3384 4248 5546 6742 8319 10113 11092 13484 16638 20226 22184 24957 26968 30339 33276 40452 49914 60678 66552 80904 99828 121356 158437 198889 199656 242712 316874 397778 475311 596667 633748 795556 950622 1193334 1267496 1425933 1591112 1790001 1901244 2386668 2851866 3580002 3802488 4773336 5703732 7160004 9347783 11407464 14320008 18695566 28043349 37391132 56086698 74782264 84130047 112173396 168260094 224346792 336520188 673040376