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2342434224 = 2431321117791
BaseRepresentation
bin1000101110011110…
…1011010110110000
320001020200222200010
42023213223112300
514244130343344
61024234254520
7112022235204
oct21347532660
96036628603
102342434224
11aa2274559
12554587440
132b43b1970
14183156b04
15da9a48b9
hex8b9eb5b0

2342434224 has 80 divisors (see below), whose sum is σ = 6548025344. Its totient is φ = 717292800.

The previous prime is 2342434189. The next prime is 2342434229. The reversal of 2342434224 is 4224342432.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2342434191 and 2342434200.

It is not an unprimeable number, because it can be changed into a prime (2342434229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122769 + ... + 140559.

Almost surely, 22342434224 is an apocalyptic number.

2342434224 is a gapful number since it is divisible by the number (24) 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 2342434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274012672).

2342434224 is an abundant number, since it is smaller than the sum of its proper divisors (4205591120).

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

2342434224 is a wasteful number, since it uses less digits than its factorization.

2342434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18026 (or 18020 counting only the distinct ones).

The product of its digits is 36864, while the sum is 30.

The square root of 2342434224 is about 48398.7006437156. The cubic root of 2342434224 is about 1328.0745923892.

Adding to 2342434224 its reverse (4224342432), we get a palindrome (6566776656).

The spelling of 2342434224 in words is "two billion, three hundred forty-two million, four hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 211 312 422 624 633 844 1266 1688 2532 2743 3376 5064 5486 8229 10128 10972 16458 17791 21944 32916 35582 43888 53373 65832 71164 106746 131664 142328 213492 231283 284656 426984 462566 693849 853968 925132 1387698 1850264 2775396 3700528 3753901 5550792 7507802 11101584 11261703 15015604 22523406 30031208 45046812 48800713 60062416 90093624 97601426 146402139 180187248 195202852 292804278 390405704 585608556 780811408 1171217112 2342434224