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348968448 = 293275731
BaseRepresentation
bin10100110011001…
…101011000000000
3220022122102201100
4110303031120000
51203313442243
654343334400
711435116503
oct2463153000
9808572640
10348968448
11169a90184
1298a51400
13573b480a
14344bd13a
15209830d3
hex14ccd600

348968448 has 60 divisors (see below), whose sum is σ = 1007159868. Its totient is φ = 116321280.

The previous prime is 348968447. The next prime is 348968449. The reversal of 348968448 is 844869843.

It is an interprime number because it is at equal distance from previous prime (348968447) and next prime (348968449).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 348968394 and 348968403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348968447) 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 5 ways as a sum of consecutive naturals, for example, 33258 + ... + 42473.

Almost surely, 2348968448 is an apocalyptic number.

It is an amenable number.

348968448 is an abundant number, since it is smaller than the sum of its proper divisors (658191420).

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

348968448 is an equidigital number, since it uses as much as digits as its factorization.

348968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75755 (or 75736 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 348968448 is about 18680.6972032631. The cubic root of 348968448 is about 704.0368438018.

The spelling of 348968448 in words is "three hundred forty-eight million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 75731 151462 227193 302924 454386 605848 681579 908772 1211696 1363158 1817544 2423392 2726316 3635088 4846784 5452632 7270176 9693568 10905264 14540352 19387136 21810528 29080704 38774272 43621056 58161408 87242112 116322816 174484224 348968448