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442112310 = 23355093217
BaseRepresentation
bin11010010110100…
…001100100110110
31010210220122002000
4122112201210312
51401140043220
6111512000130
713645615113
oct3226414466
91123818060
10442112310
11207619582
12104090046
1370797723
1442a0790a
1528c31390
hex1a5a1936

442112310 has 64 divisors (see below), whose sum is σ = 1181649600. Its totient is φ = 117628416.

The previous prime is 442112291. The next prime is 442112327. The reversal of 442112310 is 13211244.

It is a super-2 number, since 2×4421123102 = 390926589307072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135822 + ... + 139038.

It is an arithmetic number, because the mean of its divisors is an integer number (18463275).

Almost surely, 2442112310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590824800).

442112310 is an abundant number, since it is smaller than the sum of its proper divisors (739537290).

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

442112310 is a wasteful number, since it uses less digits than its factorization.

442112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 442112310 is about 21026.4668929423. The cubic root of 442112310 is about 761.8056730580.

Adding to 442112310 its reverse (13211244), we get a palindrome (455323554).

The spelling of 442112310 in words is "four hundred forty-two million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 509 1018 1527 2545 3054 3217 4581 5090 6434 7635 9162 9651 13743 15270 16085 19302 22905 27486 28953 32170 45810 48255 57906 68715 86859 96510 137430 144765 173718 289530 434295 868590 1637453 3274906 4912359 8187265 9824718 14737077 16374530 24561795 29474154 44211231 49123590 73685385 88422462 147370770 221056155 442112310