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348977412 = 2232721811093
BaseRepresentation
bin10100110011001…
…111100100000100
3220022122220000100
4110303033210010
51203314234122
654343444100
711435154600
oct2463174404
9808586010
10348977412
11169a96993
1298a56630
13573b8914
14344c2500
1520985aac
hex14ccf904

348977412 has 108 divisors (see below), whose sum is σ = 1032773196. Its totient is φ = 99066240.

The previous prime is 348977359. The next prime is 348977417. The reversal of 348977412 is 214779843.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 177262596 = 13104^2 + 13314^2 .

It is not an unprimeable number, because it can be changed into a prime (348977417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 318738 + ... + 319830.

Almost surely, 2348977412 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 348977412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516386598).

348977412 is an abundant number, since it is smaller than the sum of its proper divisors (683795784).

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

348977412 is a wasteful number, since it uses less digits than its factorization.

348977412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1286 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 348977412 is about 18680.9371285276. The cubic root of 348977412 is about 704.0428719802.

Adding to 348977412 its product of digits (338688), we get a square (349316100 = 186902).

The spelling of 348977412 in words is "three hundred forty-eight million, nine hundred seventy-seven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 181 196 252 294 362 441 543 588 724 882 1086 1093 1267 1629 1764 2172 2186 2534 3258 3279 3801 4372 5068 6516 6558 7602 7651 8869 9837 11403 13116 15204 15302 17738 19674 22806 22953 26607 30604 35476 39348 45612 45906 53214 53557 68859 79821 91812 106428 107114 137718 159642 160671 197833 214228 275436 319284 321342 395666 482013 593499 642684 791332 964026 1186998 1384831 1780497 1928052 2373996 2769662 3560994 4154493 5539324 7121988 8308986 9693817 12463479 16617972 19387634 24926958 29081451 38775268 49853916 58162902 87244353 116325804 174488706 348977412