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348046336 = 210112532
BaseRepresentation
bin10100101111101…
…100010000000000
3220020220120211001
4110233230100000
51203044440321
654311501344
711424226231
oct2457542000
9806816731
10348046336
11169510400
1298687854
1357150ba1
143431d088
152084ec91
hex14bec400

348046336 has 99 divisors (see below), whose sum is σ = 779454613. Its totient is φ = 155217920.

The previous prime is 348046333. The next prime is 348046339. The reversal of 348046336 is 633640843.

The square root of 348046336 is 18656.

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

It is an interprime number because it is at equal distance from previous prime (348046333) and next prime (348046339).

It can be written as a sum of positive squares in only one way, i.e., 250905600 + 97140736 = 15840^2 + 9856^2 .

It is a super-2 number, since 2×3480463362 = 242272504006049792, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 348046295 and 348046304.

It is not an unprimeable number, because it can be changed into a prime (348046333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6566886 + ... + 6566938.

Almost surely, 2348046336 is an apocalyptic number.

348046336 is the 18656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348046336

348046336 is an abundant number, since it is smaller than the sum of its proper divisors (431408277).

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

348046336 is an equidigital number, since it uses as much as digits as its factorization.

348046336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The cubic root of 348046336 is about 703.4161826489.

The spelling of 348046336 in words is "three hundred forty-eight million, forty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 121 128 176 212 242 256 352 424 484 512 583 704 848 968 1024 1166 1408 1696 1936 2332 2809 2816 3392 3872 4664 5618 5632 6413 6784 7744 9328 11236 11264 12826 13568 15488 18656 22472 25652 27136 30899 30976 37312 44944 51304 54272 61798 61952 74624 89888 102608 123596 123904 149248 179776 205216 247192 298496 339889 359552 410432 494384 596992 679778 719104 820864 988768 1359556 1438208 1641728 1977536 2719112 2876416 3283456 3955072 5438224 6566912 7910144 10876448 15820288 21752896 31640576 43505792 87011584 174023168 348046336