Search a number
-
+
339478078434 = 231121936076823
BaseRepresentation
bin1001111000010100111…
…10000110001111100010
31012110020210220012110020
410330022132012033202
521030222342002214
6415542025214310
733345404025045
oct4741236061742
91173223805406
10339478078434
11120a76585a00
1255962631396
1326021a22131
141260628cc5c
158c6d44c4a9
hex4f0a7863e2

339478078434 has 96 divisors (see below), whose sum is σ = 785902064640. Its totient is φ = 97416522720.

The previous prime is 339478078417. The next prime is 339478078463. The reversal of 339478078434 is 434870874933.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49751547 + ... + 49758369.

It is an arithmetic number, because the mean of its divisors is an integer number (8186479840).

Almost surely, 2339478078434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339478078434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392951032320).

339478078434 is an abundant number, since it is smaller than the sum of its proper divisors (446423986206).

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

339478078434 is a wasteful number, since it uses less digits than its factorization.

339478078434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476 (or 10465 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 339478078434 in words is "three hundred thirty-nine billion, four hundred seventy-eight million, seventy-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 121 209 242 363 418 627 726 1254 2299 3607 4598 6823 6897 7214 10821 13646 13794 20469 21642 39677 40938 68533 75053 79354 119031 129637 137066 150106 205599 225159 238062 259274 388911 411198 436447 450318 753863 777822 825583 872894 1309341 1426007 1507726 1651166 2261589 2476749 2618682 2852014 4278021 4523178 4953498 8292493 8556042 15686077 16584986 24610561 24877479 31372154 47058231 49221122 49754958 73831683 94116462 147663366 270716171 467600659 541432342 812148513 935201318 1402801977 1624297026 2805603954 2977877881 5143607249 5955755762 8933633643 10287214498 15430821747 17867267286 30861643494 56579679739 113159359478 169739039217 339478078434