Search a number
-
+
674324772 = 2231123171211
BaseRepresentation
bin101000001100010…
…110000100100100
31201222212020200120
4220030112010210
52340111343042
6150525041540
722465444302
oct5014260444
91658766616
10674324772
11316703200
121699b62b0
13a991ca54
14657b3272
153e2eedec
hex28316124

674324772 has 144 divisors (see below), whose sum is σ = 1818980352. Its totient is φ = 194040000.

The previous prime is 674324743. The next prime is 674324789. The reversal of 674324772 is 277423476.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195747 + ... + 3195957.

It is an arithmetic number, because the mean of its divisors is an integer number (12631808).

Almost surely, 2674324772 is an apocalyptic number.

674324772 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 674324772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909490176).

674324772 is an abundant number, since it is smaller than the sum of its proper divisors (1144655580).

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

674324772 is a wasteful number, since it uses less digits than its factorization.

674324772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its digits is 395136, while the sum is 42.

The square root of 674324772 is about 25967.7640931983. The cubic root of 674324772 is about 876.9127233359.

The spelling of 674324772 in words is "six hundred seventy-four million, three hundred twenty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 121 124 132 142 186 211 213 242 284 341 363 372 422 426 484 633 682 726 781 844 852 1023 1266 1364 1452 1562 2046 2201 2321 2343 2532 3124 3751 4092 4402 4642 4686 6541 6603 6963 7502 8591 8804 9284 9372 11253 13082 13206 13926 14981 15004 17182 19623 22506 24211 25531 25773 26164 26412 27852 29962 34364 39246 44943 45012 48422 51062 51546 59924 71951 72633 76593 78492 89886 96844 102124 103092 143902 145266 153186 164791 179772 215853 266321 287804 290532 306372 329582 431706 464411 494373 532642 659164 791461 798963 863412 928822 988746 1065284 1393233 1582922 1597926 1812701 1857644 1977492 2374383 2786466 3165844 3195852 3625402 4748766 5108521 5438103 5572932 7250804 9497532 10217042 10876206 15325563 20434084 21752412 30651126 56193731 61302252 112387462 168581193 224774924 337162386 674324772