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2442430320 = 243511925163
BaseRepresentation
bin1001000110010100…
…1000011101110000
320022012212022112020
42101211020131300
520000230232240
61042205431440
7114345213051
oct22145103560
96265768466
102442430320
111043763060
12581b6b580
132cc023755
14192546728
15e46580d0
hex91948770

2442430320 has 80 divisors (see below), whose sum is σ = 8259864192. Its totient is φ = 592103680.

The previous prime is 2442430313. The next prime is 2442430337. The reversal of 2442430320 is 230342442.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459942 + ... + 465221.

Almost surely, 22442430320 is an apocalyptic number.

2442430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442430320 is an abundant number, since it is smaller than the sum of its proper divisors (5817433872).

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

2442430320 is a wasteful number, since it uses less digits than its factorization.

2442430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925190 (or 925184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2442430320 is about 49420.9502134469. The cubic root of 2442430320 is about 1346.7099251971.

Adding to 2442430320 its reverse (230342442), we get a palindrome (2672772762).

The spelling of 2442430320 in words is "two billion, four hundred forty-two million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 925163 1850326 2775489 3700652 4625815 5550978 7401304 9251630 10176793 11101956 13877445 14802608 18503260 20353586 22203912 27754890 30530379 37006520 40707172 44407824 50883965 55509780 61060758 74013040 81414344 101767930 111019560 122121516 152651895 162828688 203535860 222039120 244243032 305303790 407071720 488486064 610607580 814143440 1221215160 2442430320