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348081120256 = 21010321792
BaseRepresentation
bin1010001000010110100…
…00000110010000000000
31020021110101001000012211
411010023100012100000
521200332231322011
6423523430231504
734101526463452
oct5041320062000
91207411030184
10348081120256
11124690799621
12575637b5594
1326a9318751c
1412bc0a922d2
1590c3866b21
hex510b406400

348081120256 has 99 divisors (see below), whose sum is σ = 706590773931. Its totient is φ = 171387992064.

The previous prime is 348081120251. The next prime is 348081120263. The reversal of 348081120256 is 652021180843.

The square root of 348081120256 is 589984.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (348081120251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1944587175 + ... + 1944587353.

Almost surely, 2348081120256 is an apocalyptic number.

348081120256 is the 589984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348081120256

348081120256 is an abundant number, since it is smaller than the sum of its proper divisors (358509653675).

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

348081120256 is an frugal number, since it uses more digits than its factorization.

348081120256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 348081120256 in words is "three hundred forty-eight billion, eighty-one million, one hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 103 128 179 206 256 358 412 512 716 824 1024 1432 1648 2864 3296 5728 6592 10609 11456 13184 18437 21218 22912 26368 32041 36874 42436 45824 52736 64082 73748 84872 91648 105472 128164 147496 169744 183296 256328 294992 339488 512656 589984 678976 1025312 1179968 1357952 1899011 2050624 2359936 2715904 3300223 3798022 4101248 4719872 5431808 6600446 7596044 8202496 9439744 10863616 13200892 15192088 16404992 18879488 26401784 30384176 32809984 52803568 60768352 105607136 121536704 211214272 243073408 339922969 422428544 486146816 679845938 844857088 972293632 1359691876 1689714176 1944587264 2719383752 3379428352 5438767504 10877535008 21755070016 43510140032 87020280064 174040560128 348081120256