Search a number
-
+
1742208336 = 243211299989
BaseRepresentation
bin110011111010111…
…1111110101010000
311111102021100112200
41213311333311100
512032001131321
6444513323200
761113345411
oct14765776520
94442240480
101742208336
11814481a00
12407566500
13219c3730b
14127551808
15a2e3ed26
hex67d7fd50

1742208336 has 90 divisors (see below), whose sum is σ = 5359364010. Its totient is φ = 527936640.

The previous prime is 1742208329. The next prime is 1742208341. The reversal of 1742208336 is 6338022471.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 921729600 + 820478736 = 30360^2 + 28644^2 .

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 1742208336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32571 + ... + 67418.

It is an arithmetic number, because the mean of its divisors is an integer number (59548489).

Almost surely, 21742208336 is an apocalyptic number.

1742208336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1742208336 is an abundant number, since it is smaller than the sum of its proper divisors (3617155674).

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

1742208336 is a wasteful number, since it uses less digits than its factorization.

1742208336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100025 (or 100005 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1742208336 is about 41739.7692375030. The cubic root of 1742208336 is about 1203.2799932021.

The spelling of 1742208336 in words is "one billion, seven hundred forty-two million, two hundred eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 4356 5808 8712 17424 99989 199978 299967 399956 599934 799912 899901 1099879 1199868 1599824 1799802 2199758 2399736 3299637 3599604 4399516 4799472 6599274 7199208 8799032 9898911 12098669 13198548 14398416 17598064 19797822 24197338 26397096 36296007 39595644 48394676 52794192 72592014 79191288 96789352 108888021 145184028 158382576 193578704 217776042 290368056 435552084 580736112 871104168 1742208336