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4314314334 = 2311472775021
BaseRepresentation
bin1000000010010011…
…10011011001011110
3102010200010212122210
410001021303121132
532313431024314
61552034421250
7211625031621
oct40111633136
912120125583
104314314334
111914355240
12a04a31826
13539a91a25
142ccdb1db8
151a3b60559
hex10127365e

4314314334 has 64 divisors (see below), whose sum is σ = 9649953792. Its totient is φ = 1274678400.

The previous prime is 4314314297. The next prime is 4314314359. The reversal of 4314314334 is 4334134134.

It is a super-2 number, since 2×43143143342 = 37226616345115727112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856744 + ... + 861764.

It is an arithmetic number, because the mean of its divisors is an integer number (150780528).

Almost surely, 24314314334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314314334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4824976896).

4314314334 is an abundant number, since it is smaller than the sum of its proper divisors (5335639458).

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

4314314334 is a wasteful number, since it uses less digits than its factorization.

4314314334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5361.

The product of its digits is 20736, while the sum is 30.

The square root of 4314314334 is about 65683.4403331616. The cubic root of 4314314334 is about 1627.9357529375.

Adding to 4314314334 its reverse (4334134134), we get a palindrome (8648448468).

The spelling of 4314314334 in words is "four billion, three hundred fourteen million, three hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 277 282 517 554 831 1034 1551 1662 3047 3102 5021 6094 9141 10042 13019 15063 18282 26038 30126 39057 55231 78114 110462 143209 165693 235987 286418 331386 429627 471974 707961 859254 1390817 1415922 2595857 2781634 4172451 5191714 7787571 8344902 15298987 15575142 30597974 45896961 65368399 91793922 130736798 196105197 392210394 719052389 1438104778 2157157167 4314314334