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2342241144 = 2333291991879
BaseRepresentation
bin1000101110011011…
…1100001101111000
320001020100011211000
42023212330031320
514244103204034
61024230205000
7112020502245
oct21346741570
96036304730
102342241144
11aa2152491
125544b3760
132b4344b09
141831065cc
15da967599
hex8b9bc378

2342241144 has 128 divisors (see below), whose sum is σ = 6768000000. Its totient is φ = 749637504.

The previous prime is 2342241107. The next prime is 2342241157. The reversal of 2342241144 is 4411422432.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1245597 + ... + 1247475.

It is an arithmetic number, because the mean of its divisors is an integer number (52875000).

Almost surely, 22342241144 is an apocalyptic number.

2342241144 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 2342241144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384000000).

2342241144 is an abundant number, since it is smaller than the sum of its proper divisors (4425758856).

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

2342241144 is a wasteful number, since it uses less digits than its factorization.

2342241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2112 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2342241144 is about 48396.7059209612. The cubic root of 2342241144 is about 1328.0381016189.

Adding to 2342241144 its reverse (4411422432), we get a palindrome (6753663576).

The spelling of 2342241144 in words is "two billion, three hundred forty-two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 199 216 232 261 348 398 522 597 696 783 796 1044 1194 1566 1592 1791 1879 2088 2388 3132 3582 3758 4776 5373 5637 5771 6264 7164 7516 10746 11274 11542 14328 15032 16911 17313 21492 22548 23084 33822 34626 42984 45096 46168 50733 51939 54491 67644 69252 101466 103878 108982 135288 138504 155817 163473 202932 207756 217964 311634 326946 373921 405864 415512 435928 490419 623268 653892 747842 980838 1121763 1246536 1307784 1471257 1495684 1961676 2243526 2942514 2991368 3365289 3923352 4487052 5885028 6730578 8974104 10095867 10843709 11770056 13461156 20191734 21687418 26922312 32531127 40383468 43374836 65062254 80766936 86749672 97593381 130124508 195186762 260249016 292780143 390373524 585560286 780747048 1171120572 2342241144