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2442347664 = 243163312161
BaseRepresentation
bin1001000110010011…
…0100010010010000
320022012201010010220
42101210310102100
520000220111124
61042203553040
7114344420061
oct22144642220
96265633126
102442347664
111043706a49
12581b2b780
132cbcc4c43
14192524568
15e463d879
hex91934490

2442347664 has 40 divisors (see below), whose sum is σ = 6348126432. Its totient is φ = 809118720.

The previous prime is 2442347651. The next prime is 2442347671. The reversal of 2442347664 is 4667432442.

It is a super-2 number, since 2×24423476642 = 11930124223692513792, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148257 + ... + 163904.

Almost surely, 22442347664 is an apocalyptic number.

2442347664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2442347664 is an abundant number, since it is smaller than the sum of its proper divisors (3905778768).

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

2442347664 is a wasteful number, since it uses less digits than its factorization.

2442347664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312335 (or 312329 counting only the distinct ones).

The product of its digits is 774144, while the sum is 42.

The square root of 2442347664 is about 49420.1139618273. The cubic root of 2442347664 is about 1346.6947333736.

The spelling of 2442347664 in words is "two billion, four hundred forty-two million, three hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 326 489 652 978 1304 1956 2608 3912 7824 312161 624322 936483 1248644 1872966 2497288 3745932 4994576 7491864 14983728 50882243 101764486 152646729 203528972 305293458 407057944 610586916 814115888 1221173832 2442347664