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348989338208 = 25721213183487
BaseRepresentation
bin1010001010000010110…
…00101011001001100000
31020100210200000021000202
411011001120223021200
521204212232310313
6424153512404332
734133165300300
oct5050130531140
91210720007022
10348989338208
11125007424175
12577779a66a8
1326ba939a5b4
1412c6954b600
159128468558
hex514162b260

348989338208 has 72 divisors (see below), whose sum is σ = 799911165312. Its totient is φ = 149442741504.

The previous prime is 348989338207. The next prime is 348989338241. The reversal of 348989338208 is 802833989843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348989338207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1810241 + ... + 1993727.

It is an arithmetic number, because the mean of its divisors is an integer number (11109877296).

Almost surely, 2348989338208 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 348989338208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399955582656).

348989338208 is an abundant number, since it is smaller than the sum of its proper divisors (450921827104).

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

348989338208 is a wasteful number, since it uses less digits than its factorization.

348989338208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184724 (or 184709 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 65.

The spelling of 348989338208 in words is "three hundred forty-eight billion, nine hundred eighty-nine million, three hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1213 1568 2426 4852 8491 9704 16982 19408 33964 38816 59437 67928 118874 135856 183487 237748 271712 366974 475496 733948 950992 1284409 1467896 1901984 2568818 2935792 5137636 5871584 8990863 10275272 17981726 20550544 35963452 41101088 71926904 143853808 222569731 287707616 445139462 890278924 1557988117 1780557848 3115976234 3561115696 6231952468 7122231392 10905916819 12463904936 21811833638 24927809872 43623667276 49855619744 87247334552 174494669104 348989338208