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442001340 = 223351174411
BaseRepresentation
bin11010010110000…
…110011110111100
31010210200222212000
4122112012132330
51401123020330
6111505342300
713644643434
oct3226063674
91123628760
10442001340
11207553170
12104037990
1370759071
14429b92c4
1528c0d560
hex1a5867bc

442001340 has 96 divisors (see below), whose sum is σ = 1500145920. Its totient is φ = 107150400.

The previous prime is 442001249. The next prime is 442001347. The reversal of 442001340 is 43100244.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442001347) 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, 31266 + ... + 43145.

It is an arithmetic number, because the mean of its divisors is an integer number (15626520).

Almost surely, 2442001340 is an apocalyptic number.

It is an amenable number.

442001340 is an abundant number, since it is smaller than the sum of its proper divisors (1058144580).

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

442001340 is a wasteful number, since it uses less digits than its factorization.

442001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74440 (or 74432 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 442001340 is about 21023.8279102546. The cubic root of 442001340 is about 761.7419300922.

Adding to 442001340 its reverse (43100244), we get a palindrome (485101584).

The spelling of 442001340 in words is "four hundred forty-two million, one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 74411 148822 223233 297644 372055 446466 669699 744110 818521 892932 1116165 1339398 1488220 1637042 2009097 2232330 2455563 2678796 3274084 3348495 4018194 4092605 4464660 4911126 6696990 7366689 8036388 8185210 9822252 10045485 12277815 13393980 14733378 16370420 20090970 22100067 24555630 29466756 36833445 40181940 44200134 49111260 73666890 88400268 110500335 147333780 221000670 442001340