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442343910 = 235177910979
BaseRepresentation
bin11010010111011…
…010000111100110
31010211100101202210
4122113122013212
51401220001120
6111520544250
713650601251
oct3227320746
91124311683
10442343910
11207767588
12104182086
1370848c78
1442a68098
1528c79ce0
hex1a5da1e6

442343910 has 64 divisors (see below), whose sum is σ = 1138406400. Its totient is φ = 109604352.

The previous prime is 442343897. The next prime is 442343911. The reversal of 442343910 is 19343244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442343911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34801 + ... + 45779.

It is an arithmetic number, because the mean of its divisors is an integer number (17787600).

Almost surely, 2442343910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442343910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569203200).

442343910 is an abundant number, since it is smaller than the sum of its proper divisors (696062490).

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

442343910 is a wasteful number, since it uses less digits than its factorization.

442343910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085.

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 442343910 is about 21031.9735165295. The cubic root of 442343910 is about 761.9386734974.

The spelling of 442343910 in words is "four hundred forty-two million, three hundred forty-three thousand, nine hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 79 85 102 158 170 237 255 395 474 510 790 1185 1343 2370 2686 4029 6715 8058 10979 13430 20145 21958 32937 40290 54895 65874 109790 164685 186643 329370 373286 559929 867341 933215 1119858 1734682 1866430 2602023 2799645 4336705 5204046 5599290 8673410 13010115 14744797 26020230 29489594 44234391 73723985 88468782 147447970 221171955 442343910