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442234144 = 25111256347
BaseRepresentation
bin11010010110111…
…111010100100000
31010211010211012101
4122112333110200
51401202443034
6111514340144
713646633242
oct3226772440
91124124171
10442234144
112076a2070
1210412a654
137080b011
1442a3a092
1528c57514
hex1a5bf520

442234144 has 24 divisors (see below), whose sum is σ = 949799088. Its totient is φ = 201015360.

The previous prime is 442234129. The next prime is 442234151. The reversal of 442234144 is 441432244.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 627822 + ... + 628525.

It is an arithmetic number, because the mean of its divisors is an integer number (39574962).

Almost surely, 2442234144 is an apocalyptic number.

442234144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442234144 is an abundant number, since it is smaller than the sum of its proper divisors (507564944).

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

442234144 is a wasteful number, since it uses less digits than its factorization.

442234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256368 (or 1256360 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 442234144 is about 21029.3638515291. The cubic root of 442234144 is about 761.8756441987.

Adding to 442234144 its reverse (441432244), we get a palindrome (883666388).

The spelling of 442234144 in words is "four hundred forty-two million, two hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 1256347 2512694 5025388 10050776 13819817 20101552 27639634 40203104 55279268 110558536 221117072 442234144