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283341344 = 25112132433
BaseRepresentation
bin10000111000110…
…111001000100000
3201202011020020212
4100320313020200
51040013410334
644040553252
710010235026
oct2070671040
9652136225
10283341344
11135a36600
127aa82828
1346917500
14298b8716
1519d1cece
hex10e37220

283341344 has 108 divisors (see below), whose sum is σ = 665476938. Its totient is φ = 118609920.

The previous prime is 283341313. The next prime is 283341349. The reversal of 283341344 is 443143382.

It can be written as a sum of positive squares in 3 ways, for example, as 81360400 + 201980944 = 9020^2 + 14212^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 283341344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283341349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 654152 + ... + 654584.

Almost surely, 2283341344 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 283341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332738469).

283341344 is an abundant number, since it is smaller than the sum of its proper divisors (382135594).

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

283341344 is a wasteful number, since it uses less digits than its factorization.

283341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 459 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 283341344 is about 16832.7461811791. The cubic root of 283341344 is about 656.8053019097.

The spelling of 283341344 in words is "two hundred eighty-three million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 169 176 208 242 286 338 352 416 433 484 572 676 866 968 1144 1352 1573 1732 1859 1936 2288 2704 3146 3464 3718 3872 4576 4763 5408 5629 6292 6928 7436 9526 11258 12584 13856 14872 19052 20449 22516 25168 29744 38104 40898 45032 50336 52393 59488 61919 73177 76208 81796 90064 104786 123838 146354 152416 163592 180128 209572 247676 292708 327184 419144 495352 585416 654368 681109 804947 838288 990704 1170832 1362218 1609894 1676576 1981408 2341664 2724436 3219788 5448872 6439576 8854417 10897744 12879152 17708834 21795488 25758304 35417668 70835336 141670672 283341344