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344282474496 = 2113394714197
BaseRepresentation
bin1010000001010001101…
…01011010100000000000
31012220122122012210212010
411000220311122200000
521120042303140441
6422054452132520
733605432514462
oct5005065324000
91186578183763
10344282474496
11123011532864
1256883607140
13266091a563c
1412940394132
158e50117116
hex5028d5a800

344282474496 has 96 divisors (see below), whose sum is σ = 918159671520. Its totient is φ = 114723667968.

The previous prime is 344282474483. The next prime is 344282474509. The reversal of 344282474496 is 694474282443.

It is an interprime number because it is at equal distance from previous prime (344282474483) and next prime (344282474509).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24243270 + ... + 24257466.

It is an arithmetic number, because the mean of its divisors is an integer number (9564163245).

Almost surely, 2344282474496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344282474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459079835760).

344282474496 is an abundant number, since it is smaller than the sum of its proper divisors (573877197024).

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

344282474496 is a wasteful number, since it uses less digits than its factorization.

344282474496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18169 (or 18149 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 57.

The spelling of 344282474496 in words is "three hundred forty-four billion, two hundred eighty-two million, four hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 3947 6144 7894 11841 14197 15788 23682 28394 31576 42591 47364 56788 63152 85182 94728 113576 126304 170364 189456 227152 252608 340728 378912 454304 505216 681456 757824 908608 1010432 1362912 1515648 1817216 2020864 2725824 3031296 3634432 4041728 5451648 6062592 7268864 8083456 10903296 12125184 14537728 21806592 24250368 29075456 43613184 56035559 87226368 112071118 168106677 224142236 336213354 448284472 672426708 896568944 1344853416 1793137888 2689706832 3586275776 5379413664 7172551552 10758827328 14345103104 21517654656 28690206208 43035309312 57380412416 86070618624 114760824832 172141237248 344282474496