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2234344344 = 233316834397
BaseRepresentation
bin1000010100101101…
…0110001110011000
312202201022110020020
42011023112032120
514033443004334
61005413430440
7106240420311
oct20513261630
95681273206
102234344344
11a47257a81
1252433b420
13297b97b5b
14172a5b608
15d1252e49
hex852d6398

2234344344 has 64 divisors (see below), whose sum is σ = 5775805440. Its totient is φ = 719537280.

The previous prime is 2234344309. The next prime is 2234344351. The reversal of 2234344344 is 4434434322.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505954 + ... + 510350.

It is an arithmetic number, because the mean of its divisors is an integer number (90246960).

Almost surely, 22234344344 is an apocalyptic number.

2234344344 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 2234344344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2887902720).

2234344344 is an abundant number, since it is smaller than the sum of its proper divisors (3541461096).

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

2234344344 is a wasteful number, since it uses less digits than its factorization.

2234344344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120 (or 5116 counting only the distinct ones).

The product of its digits is 110592, while the sum is 33.

The square root of 2234344344 is about 47268.8517313463. The cubic root of 2234344344 is about 1307.3244039809.

Adding to 2234344344 its reverse (4434434322), we get a palindrome (6668778666).

The spelling of 2234344344 in words is "two billion, two hundred thirty-four million, three hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 683 744 1366 2049 2732 4098 4397 5464 8196 8794 13191 16392 17588 21173 26382 35176 42346 52764 63519 84692 105528 127038 136307 169384 254076 272614 408921 508152 545228 817842 1090456 1635684 3003151 3271368 6006302 9009453 12012604 18018906 24025208 36037812 72075624 93097681 186195362 279293043 372390724 558586086 744781448 1117172172 2234344344