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348361960 = 235171959457
BaseRepresentation
bin10100110000111…
…001010011101000
3220021111121202211
4110300321103220
51203140040320
654322334504
711430012352
oct2460712350
9807447684
10348361960
11169706551
12987ba434
135723174b
14343a20d2
15208b355a
hex14c394e8

348361960 has 128 divisors (see below), whose sum is σ = 890352000. Its totient is φ = 121872384.

The previous prime is 348361957. The next prime is 348361967. The reversal of 348361960 is 69163843.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (348361967) 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 31 ways as a sum of consecutive naturals, for example, 762052 + ... + 762508.

It is an arithmetic number, because the mean of its divisors is an integer number (6955875).

Almost surely, 2348361960 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 348361960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445176000).

348361960 is an abundant number, since it is smaller than the sum of its proper divisors (541990040).

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

348361960 is a wasteful number, since it uses less digits than its factorization.

348361960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 348361960 is about 18664.4571311356. The cubic root of 348361960 is about 703.6287481697.

The spelling of 348361960 in words is "three hundred forty-eight million, three hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 59 68 76 85 95 118 136 152 170 190 236 295 323 340 380 457 472 590 646 680 760 914 1003 1121 1180 1292 1615 1828 2006 2242 2285 2360 2584 3230 3656 4012 4484 4570 5015 5605 6460 7769 8024 8683 8968 9140 10030 11210 12920 15538 17366 18280 19057 20060 22420 26963 31076 34732 38114 38845 40120 43415 44840 53926 62152 69464 76228 77690 86830 95285 107852 134815 147611 152456 155380 173660 190570 215704 269630 295222 310760 347320 381140 458371 512297 539260 590444 738055 762280 916742 1024594 1078520 1180888 1476110 1833484 2049188 2291855 2561485 2952220 3666968 4098376 4583710 5122970 5904440 8709049 9167420 10245940 17418098 18334840 20491880 34836196 43545245 69672392 87090490 174180980 348361960