Search a number
-
+
674369792 = 2819313649
BaseRepresentation
bin101000001100100…
…001000100000000
31201222221112102222
4220030201010000
52340114313132
6150530030212
722466022455
oct5014410400
91658845388
10674369792
11316734008
12169a18368
13a99373a5
14657c582c
153e30d412
hex28321100

674369792 has 36 divisors (see below), whose sum is σ = 1353179100. Its totient is φ = 335413248.

The previous prime is 674369783. The next prime is 674369797. The reversal of 674369792 is 297963476.

It can be written as a sum of positive squares in 2 ways, for example, as 112869376 + 561500416 = 10624^2 + 23696^2 .

It is not an unprimeable number, because it can be changed into a prime (674369797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42584 + ... + 56232.

Almost surely, 2674369792 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 674369792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676589550).

674369792 is an abundant number, since it is smaller than the sum of its proper divisors (678809308).

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

674369792 is a wasteful number, since it uses less digits than its factorization.

674369792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13844 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 53.

The square root of 674369792 is about 25968.6309227113. The cubic root of 674369792 is about 876.9322380336.

The spelling of 674369792 in words is "six hundred seventy-four million, three hundred sixty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 772 1544 3088 6176 12352 13649 24704 27298 49408 54596 109192 218384 436768 873536 1747072 2634257 3494144 5268514 10537028 21074056 42148112 84296224 168592448 337184896 674369792