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442240440 = 23353685337
BaseRepresentation
bin11010010111000…
…000110110111000
31010211011010211120
4122113000312320
51401203143230
6111514425240
713646660505
oct3227006670
91124133746
10442240440
112076a6874
12104132220
1370810b45
1442a3c4ac
1528c59310
hex1a5c0db8

442240440 has 32 divisors (see below), whose sum is σ = 1326721680. Its totient is φ = 117930752.

The previous prime is 442240439. The next prime is 442240453. The reversal of 442240440 is 44042244.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 442240440.

It is a congruent number.

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, 1842549 + ... + 1842788.

Almost surely, 2442240440 is an apocalyptic number.

442240440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442240440 is an abundant number, since it is smaller than the sum of its proper divisors (884481240).

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

442240440 is a wasteful number, since it uses less digits than its factorization.

442240440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685351 (or 3685347 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 442240440 is about 21029.5135464423. The cubic root of 442240440 is about 761.8792597392.

Adding to 442240440 its reverse (44042244), we get a palindrome (486282684).

The spelling of 442240440 in words is "four hundred forty-two million, two hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3685337 7370674 11056011 14741348 18426685 22112022 29482696 36853370 44224044 55280055 73706740 88448088 110560110 147413480 221120220 442240440