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674954964 = 2233231631667
BaseRepresentation
bin101000001110101…
…111111011010100
31202001001021011000
4220032233323110
52340242024324
6150550343300
722504010505
oct5016577324
91661037130
10674954964
11316aa3722
1216a05ab30
13a9ab0848
14658d8bac
153e3c69c9
hex283afed4

674954964 has 96 divisors (see below), whose sum is σ = 1838269440. Its totient is φ = 213754464.

The previous prime is 674954957. The next prime is 674954981. The reversal of 674954964 is 469459476.

It is a happy number.

674954964 is a `hidden beast` number, since 67 + 4 + 95 + 496 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 674954964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404059 + ... + 405725.

It is an arithmetic number, because the mean of its divisors is an integer number (19148640).

Almost surely, 2674954964 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 674954964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919134720).

674954964 is an abundant number, since it is smaller than the sum of its proper divisors (1163314476).

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

674954964 is a wasteful number, since it uses less digits than its factorization.

674954964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1858 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 674954964 is about 25979.8953808517. The cubic root of 674954964 is about 877.1858119836.

The spelling of 674954964 in words is "six hundred seventy-four million, nine hundred fifty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 163 207 276 326 414 489 621 652 828 978 1242 1467 1667 1956 2484 2934 3334 3749 4401 5001 5868 6668 7498 8802 10002 11247 14996 15003 17604 20004 22494 30006 33741 38341 44988 45009 60012 67482 76682 90018 101223 115023 134964 153364 180036 202446 230046 271721 345069 404892 460092 543442 690138 815163 1035207 1086884 1380276 1630326 2070414 2445489 3260652 4140828 4890978 6249583 7336467 9781956 12499166 14672934 18748749 24998332 29345868 37497498 56246247 74994996 112492494 168738741 224984988 337477482 674954964