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442877340 = 223510371663
BaseRepresentation
bin11010011001011…
…100010110011100
31010212100111111110
4122121130112130
51401334033330
6111540222020
713655252403
oct3231342634
91125314443
10442877340
11207aa1334
1210439a910
13709a49c9
1442b6663a
1528d32db0
hex1a65c59c

442877340 has 48 divisors (see below), whose sum is σ = 1252113408. Its totient is φ = 116952384.

The previous prime is 442877317. The next prime is 442877389. The reversal of 442877340 is 43778244.

It is a super-3 number, since 3×4428773403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29652 + ... + 42011.

It is an arithmetic number, because the mean of its divisors is an integer number (26085696).

Almost surely, 2442877340 is an apocalyptic number.

It is an amenable number.

442877340 is an abundant number, since it is smaller than the sum of its proper divisors (809236068).

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

442877340 is a wasteful number, since it uses less digits than its factorization.

442877340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71778 (or 71776 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 39.

The square root of 442877340 is about 21044.6511018833. The cubic root of 442877340 is about 762.2448287074.

The spelling of 442877340 in words is "four hundred forty-two million, eight hundred seventy-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 103 206 309 412 515 618 1030 1236 1545 2060 3090 6180 71663 143326 214989 286652 358315 429978 716630 859956 1074945 1433260 2149890 4299780 7381289 14762578 22143867 29525156 36906445 44287734 73812890 88575468 110719335 147625780 221438670 442877340