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348875488 = 25132312081
BaseRepresentation
bin10100110010110…
…110101011100000
3220022110201012101
4110302312223200
51203303003423
654341340144
711434251463
oct2462665340
9808421171
10348875488
11169a27355
1298a07654
1357381400
14344972da
15209657ad
hex14cb6ae0

348875488 has 72 divisors (see below), whose sum is σ = 768108096. Its totient is φ = 155750400.

The previous prime is 348875447. The next prime is 348875491. The reversal of 348875488 is 884578843.

348875488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3488754882 = 243428212254476288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166608 + ... + 168688.

It is an arithmetic number, because the mean of its divisors is an integer number (10668168).

Almost surely, 2348875488 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 348875488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384054048).

348875488 is an abundant number, since it is smaller than the sum of its proper divisors (419232608).

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

348875488 is a wasteful number, since it uses less digits than its factorization.

348875488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2127 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 55.

The square root of 348875488 is about 18678.2089077085. The cubic root of 348875488 is about 703.9743232715.

The spelling of 348875488 in words is "three hundred forty-eight million, eight hundred seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 676 806 992 1352 1612 2081 2704 3224 4162 5239 5408 6448 8324 10478 12896 16648 20956 27053 33296 41912 54106 64511 66592 83824 108212 129022 167648 216424 258044 351689 432848 516088 703378 838643 865696 1032176 1406756 1677286 2064352 2813512 3354572 5627024 6709144 10902359 11254048 13418288 21804718 26836576 43609436 87218872 174437744 348875488