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2442012340 = 2257110117027
BaseRepresentation
bin1001000110001110…
…0010011010110100
320022012002002011111
42101203202122310
520000123343330
61042152444404
7114341522335
oct22143423264
96265062144
102442012340
1110434a8019
125819a9704
132cbc08421
1419247828c
15e45c432a
hex918e26b4

2442012340 has 48 divisors (see below), whose sum is σ = 5252252544. Its totient is φ = 953456000.

The previous prime is 2442012337. The next prime is 2442012359. The reversal of 2442012340 is 432102442.

It is a happy number.

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, 134907 + ... + 151933.

It is an arithmetic number, because the mean of its divisors is an integer number (109421928).

Almost surely, 22442012340 is an apocalyptic number.

2442012340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442012340 is an abundant number, since it is smaller than the sum of its proper divisors (2810240204).

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

2442012340 is a wasteful number, since it uses less digits than its factorization.

2442012340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17208 (or 17206 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2442012340 is about 49416.7212591042. The cubic root of 2442012340 is about 1346.6330987232.

Adding to 2442012340 its reverse (432102442), we get a palindrome (2874114782).

The spelling of 2442012340 in words is "two billion, four hundred forty-two million, twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 71 101 142 202 284 355 404 505 710 1010 1420 2020 7171 14342 17027 28684 34054 35855 68108 71710 85135 143420 170270 340540 1208917 1719727 2417834 3439454 4835668 6044585 6878908 8598635 12089170 17197270 24178340 34394540 122100617 244201234 488402468 610503085 1221006170 2442012340