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442324696 = 231123971151
BaseRepresentation
bin11010010111010…
…101011011011000
31010211022102102011
4122113111123120
51401213342241
6111520315304
713650461242
oct3227253330
91124272364
10442324696
11207754100
12104172b34
13708402b8
1442a61092
1528c74281
hex1a5d56d8

442324696 has 48 divisors (see below), whose sum is σ = 914699520. Its totient is φ = 200376000.

The previous prime is 442324669. The next prime is 442324699. The reversal of 442324696 is 696423244.

It is a super-2 number, since 2×4423246962 = 391302273382984832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442324699) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383721 + ... + 384871.

It is an arithmetic number, because the mean of its divisors is an integer number (19056240).

Almost surely, 2442324696 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 442324696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457349760).

442324696 is an abundant number, since it is smaller than the sum of its proper divisors (472374824).

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

442324696 is a wasteful number, since it uses less digits than its factorization.

442324696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1561 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

The square root of 442324696 is about 21031.5167308494. The cubic root of 442324696 is about 761.9276412807.

The spelling of 442324696 in words is "four hundred forty-two million, three hundred twenty-four thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 397 484 794 968 1151 1588 2302 3176 4367 4604 8734 9208 12661 17468 25322 34936 48037 50644 96074 101288 139271 192148 278542 384296 456947 557084 913894 1114168 1827788 3655576 5026417 10052834 20105668 40211336 55290587 110581174 221162348 442324696