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442854320 = 24514333863
BaseRepresentation
bin11010011001010…
…110101110110000
31010212022022220212
4122121112232300
51401332314240
6111535523252
713655125316
oct3231265660
91125268825
10442854320
11207a86007
12104389528
137099739c
1442b5c0b6
1528d2b165
hex1a656bb0

442854320 has 40 divisors (see below), whose sum is σ = 1030621536. Its totient is φ = 176972288.

The previous prime is 442854317. The next prime is 442854341. The reversal of 442854320 is 23458244.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×4428543202 = 392239897485324800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112709 + ... + 116571.

Almost surely, 2442854320 is an apocalyptic number.

442854320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442854320 is an abundant number, since it is smaller than the sum of its proper divisors (587767216).

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

442854320 is a wasteful number, since it uses less digits than its factorization.

442854320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5309 (or 5303 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 442854320 is about 21044.1041624489. The cubic root of 442854320 is about 762.2316217549.

The spelling of 442854320 in words is "four hundred forty-two million, eight hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1433 2866 3863 5732 7165 7726 11464 14330 15452 19315 22928 28660 30904 38630 57320 61808 77260 114640 154520 309040 5535679 11071358 22142716 27678395 44285432 55356790 88570864 110713580 221427160 442854320