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2342424140 = 22574329049
BaseRepresentation
bin1000101110011110…
…1000111001001100
320001020200110211122
42023213220321030
514244130033030
61024234140112
7112022163620
oct21347507114
96036613748
102342424140
11aa2267a21
12554581638
132b43aa1b4
14183153180
15da9a18e5
hex8b9e8e4c

2342424140 has 72 divisors (see below), whose sum is σ = 5756234400. Its totient is φ = 784353024.

The previous prime is 2342424137. The next prime is 2342424173. The reversal of 2342424140 is 414242432.

It is a happy number.

2342424140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254336 + ... + 263384.

It is an arithmetic number, because the mean of its divisors is an integer number (79947700).

Almost surely, 22342424140 is an apocalyptic number.

2342424140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878117200).

2342424140 is an abundant number, since it is smaller than the sum of its proper divisors (3413810260).

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

2342424140 is a wasteful number, since it uses less digits than its factorization.

2342424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9106 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 2342424140 is about 48398.5964672531. The cubic root of 2342424140 is about 1328.0726866333.

Adding to 2342424140 its reverse (414242432), we get a palindrome (2756666572).

The spelling of 2342424140 in words is "two billion, three hundred forty-two million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 1849 3010 3698 6020 7396 9049 9245 12943 18098 18490 25886 36196 36980 45245 51772 63343 64715 90490 126686 129430 180980 253372 258860 316715 389107 633430 778214 1266860 1556428 1945535 2723749 3891070 5447498 7782140 10894996 13618745 16731601 27237490 33463202 54474980 66926404 83658005 117121207 167316010 234242414 334632020 468484828 585606035 1171212070 2342424140