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348920448 = 2731675441
BaseRepresentation
bin10100110011000…
…001101010000000
3220022112222212120
4110303001222000
51203310423243
654342324240
711434526532
oct2463015200
9808488776
10348920448
11169a58108
1298a29680
1357398a06
14344a9852
1520973c83
hex14cc1a80

348920448 has 64 divisors (see below), whose sum is σ = 932541120. Its totient is φ = 115589120.

The previous prime is 348920443. The next prime is 348920449. The reversal of 348920448 is 844029843.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (348920443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61408 + ... + 66848.

It is an arithmetic number, because the mean of its divisors is an integer number (14570955).

Almost surely, 2348920448 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 348920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466270560).

348920448 is an abundant number, since it is smaller than the sum of its proper divisors (583620672).

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

348920448 is a wasteful number, since it uses less digits than its factorization.

348920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5625 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 348920448 is about 18679.4124104587. The cubic root of 348920448 is about 704.0045626426.

The spelling of 348920448 in words is "three hundred forty-eight million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 5441 8016 10688 10882 16032 16323 21376 21764 32064 32646 43528 64128 65292 87056 130584 174112 261168 348224 522336 696448 908647 1044672 1817294 2089344 2725941 3634588 5451882 7269176 10903764 14538352 21807528 29076704 43615056 58153408 87230112 116306816 174460224 348920448