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674025440 = 25511596491
BaseRepresentation
bin101000001011001…
…100111111100000
31201222022001002012
4220023030333200
52340022303230
6150514412052
722463056514
oct5013147740
91658261065
10674025440
11316519320
12169891028
13a984672a
1465736144
153e291395
hex282ccfe0

674025440 has 96 divisors (see below), whose sum is σ = 1766862720. Its totient is φ = 240908800.

The previous prime is 674025431. The next prime is 674025463. The reversal of 674025440 is 44520476.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 674025397 and 674025406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100595 + ... + 107085.

It is an arithmetic number, because the mean of its divisors is an integer number (18404820).

Almost surely, 2674025440 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 674025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883431360).

674025440 is an abundant number, since it is smaller than the sum of its proper divisors (1092837280).

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

674025440 is a wasteful number, since it uses less digits than its factorization.

674025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 674025440 is about 25961.9999229643. Note that the first 4 decimals coincide. The cubic root of 674025440 is about 876.7829506115.

674025440 divided by its sum of digits (32) gives a triangular number (21063295 = T6490).

The spelling of 674025440 in words is "six hundred seventy-four million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 80 88 110 118 160 176 220 236 295 352 440 472 590 649 880 944 1180 1298 1760 1888 2360 2596 3245 4720 5192 6490 6491 9440 10384 12980 12982 20768 25960 25964 32455 51920 51928 64910 71401 103840 103856 129820 142802 207712 259640 285604 357005 382969 519280 571208 714010 765938 1038560 1142416 1428020 1531876 1914845 2284832 2856040 3063752 3829690 4212659 5712080 6127504 7659380 8425318 11424160 12255008 15318760 16850636 21063295 30637520 33701272 42126590 61275040 67402544 84253180 134805088 168506360 337012720 674025440