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348109434656 = 25174136074327
BaseRepresentation
bin1010001000011001111…
…00000110111100100000
31020021112100022112021022
411010030330012330200
521200412003402111
6423530321145012
734102322241644
oct5041474067440
91207470275238
10348109434656
111246a5778655
125757118b168
1326a98cbc1c9
1412bc4742c24
1590c60ab2db
hex510cf06f20

348109434656 has 96 divisors (see below), whose sum is σ = 743731414272. Its totient is φ = 159739453440.

The previous prime is 348109434649. The next prime is 348109434671. The reversal of 348109434656 is 656434901843.

It is a junction number, because it is equal to n+sod(n) for n = 348109434598 and 348109434607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80448365 + ... + 80452691.

It is an arithmetic number, because the mean of its divisors is an integer number (7747202232).

Almost surely, 2348109434656 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 348109434656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371865707136).

348109434656 is an abundant number, since it is smaller than the sum of its proper divisors (395621979616).

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

348109434656 is a wasteful number, since it uses less digits than its factorization.

348109434656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8002 (or 7994 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 53.

The spelling of 348109434656 in words is "three hundred forty-eight billion, one hundred nine million, four hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 3607 4327 5576 7214 8654 11152 14428 17308 22304 28856 34616 57712 61319 69232 73559 115424 122638 138464 147118 147887 177407 245276 294236 295774 354814 490552 588472 591548 709628 981104 1176944 1183096 1419256 1962208 2353888 2366192 2514079 2838512 3015919 4732384 5028158 5677024 6031838 10056316 12063676 15607489 20112632 24127352 31214978 40225264 48254704 62429956 80450528 96509408 124859912 249719824 265327313 499439648 530654626 639907049 1061309252 1279814098 2122618504 2559628196 4245237008 5119256392 8490474016 10238512784 10878419833 20477025568 21756839666 43513679332 87027358664 174054717328 348109434656