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442313322 = 231122326489
BaseRepresentation
bin11010010111010…
…010101001101010
31010211021211210220
4122113102221222
51401213011242
6111520150510
713650413133
oct3227225152
91124254726
10442313322
11207746600
12104168436
1370838079
1442a5ac8a
1528c70bec
hex1a5d2a6a

442313322 has 48 divisors (see below), whose sum is σ = 1014672960. Its totient is φ = 128201920.

The previous prime is 442313309. The next prime is 442313329. The reversal of 442313322 is 223313244.

It is a junction number, because it is equal to n+sod(n) for n = 442313292 and 442313301.

It is not an unprimeable number, because it can be changed into a prime (442313329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3454 + ... + 29942.

It is an arithmetic number, because the mean of its divisors is an integer number (21139020).

Almost surely, 2442313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507336480).

442313322 is an abundant number, since it is smaller than the sum of its proper divisors (572359638).

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

442313322 is a wasteful number, since it uses less digits than its factorization.

442313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26539 (or 26528 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 442313322 is about 21031.2463254083. The cubic root of 442313322 is about 761.9211104529.

Adding to 442313322 its reverse (223313244), we get a palindrome (665626566).

The spelling of 442313322 in words is "four hundred forty-two million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 121 138 242 253 363 506 726 759 1518 2783 5566 8349 16698 26489 52978 79467 158934 291379 582758 609247 874137 1218494 1748274 1827741 3205169 3655482 6410338 6701717 9615507 13403434 19231014 20105151 40210302 73718887 147437774 221156661 442313322