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348432932848 = 247111327778539
BaseRepresentation
bin1010001001000000011…
…10001001111111110000
31020022100220000221100211
411010200032021333300
521202042312322343
6424022354553504
734113331030240
oct5044016117760
91208326027324
10348432932848
11124851341630
1257641598894
1326b1b026760
1412c156b1b20
1590e46ac79d
hex5120389ff0

348432932848 has 160 divisors (see below), whose sum is σ = 909696775680. Its totient is φ = 124856570880.

The previous prime is 348432932843. The next prime is 348432932849. The reversal of 348432932848 is 848239234843.

It is a happy number.

It is a super-2 number, since 2×3484329328482 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 348432932792 and 348432932801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348432932843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4397163 + ... + 4475701.

It is an arithmetic number, because the mean of its divisors is an integer number (5685604848).

Almost surely, 2348432932848 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 348432932848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454848387840).

348432932848 is an abundant number, since it is smaller than the sum of its proper divisors (561263842832).

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

348432932848 is a wasteful number, since it uses less digits than its factorization.

348432932848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78855 (or 78849 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 58.

The spelling of 348432932848 in words is "three hundred forty-eight billion, four hundred thirty-two million, nine hundred thirty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 277 286 308 364 554 572 616 728 1001 1108 1144 1232 1456 1939 2002 2216 2288 3047 3601 3878 4004 4432 6094 7202 7756 8008 12188 14404 15512 16016 21329 24376 25207 28808 31024 39611 42658 48752 50414 57616 78539 79222 85316 100828 157078 158444 170632 201656 277277 314156 316888 341264 403312 549773 554554 628312 633776 863929 1021007 1099546 1109108 1256624 1727858 2042014 2199092 2218216 3455716 4084028 4398184 4436432 6047503 6911432 7147049 8168056 8796368 11231077 12095006 13822864 14294098 16336112 21755303 22462154 24190012 28588196 43510606 44924308 48380024 57176392 78617539 87021212 89848616 96760048 114352784 152287121 157235078 174042424 179697232 239308333 282818939 304574242 314470156 348084848 478616666 565637878 609148484 628940312 957233332 1131275756 1218296968 1257880624 1675158331 1914466664 1979732573 2262551512 2436593936 3111008329 3350316662 3828933328 3959465146 4525103024 6222016658 6700633324 7918930292 12444033316 13401266648 15837860584 21777058303 24888066632 26802533296 31675721168 43554116606 49776133264 87108233212 174216466424 348432932848