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344262130640 = 24530891393097
BaseRepresentation
bin1010000001001111001…
…11110011101111010000
31012220121012221020022222
411000213213303233100
521120022101140030
6422052444120212
733605064554111
oct5004747635720
91186535836288
10344262130640
11123000aa815a
1256878836068
1326604c0185c
141293b7ba208
158e4d4493e5
hex50279f3bd0

344262130640 has 40 divisors (see below), whose sum is σ = 800669144520. Its totient is φ = 137660174336.

The previous prime is 344262130591. The next prime is 344262130657. The reversal of 344262130640 is 46031262443.

It can be written as a sum of positive squares in 4 ways, for example, as 114065605696 + 230196524944 = 337736^2 + 479788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 344262130640.

It is a congruent number.

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, 449429 + ... + 943668.

It is an arithmetic number, because the mean of its divisors is an integer number (20016728613).

Almost surely, 2344262130640 is an apocalyptic number.

It is an amenable number.

344262130640 is an abundant number, since it is smaller than the sum of its proper divisors (456407013880).

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

344262130640 is a wasteful number, since it uses less digits than its factorization.

344262130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396199 (or 1396193 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

The spelling of 344262130640 in words is "three hundred forty-four billion, two hundred sixty-two million, one hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3089 6178 12356 15445 24712 30890 49424 61780 123560 247120 1393097 2786194 5572388 6965485 11144776 13930970 22289552 27861940 55723880 111447760 4303276633 8606553266 17213106532 21516383165 34426213064 43032766330 68852426128 86065532660 172131065320 344262130640