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348608960 = 2657198191
BaseRepresentation
bin10100110001110…
…101100111000000
3220021222011120222
4110301311213000
51203220441320
654331522212
711432061440
oct2461654700
9807864528
10348608960
11169865087
12988b9368
13572b9cbb
1434428120
1520911825
hex14c759c0

348608960 has 112 divisors (see below), whose sum is σ = 998768640. Its totient is φ = 113218560.

The previous prime is 348608933. The next prime is 348608969. The reversal of 348608960 is 69806843.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348608969) 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 15 ways as a sum of consecutive naturals, for example, 38465 + ... + 46655.

Almost surely, 2348608960 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 348608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499384320).

348608960 is an abundant number, since it is smaller than the sum of its proper divisors (650159680).

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

348608960 is a wasteful number, since it uses less digits than its factorization.

348608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8234 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 348608960 is about 18671.0728133120. The cubic root of 348608960 is about 703.7950074643.

The spelling of 348608960 in words is "three hundred forty-eight million, six hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 4256 5320 6080 8191 8512 10640 16382 21280 32764 40955 42560 57337 65528 81910 114674 131056 155629 163820 229348 262112 286685 311258 327640 458696 524224 573370 622516 655280 778145 917392 1089403 1146740 1245032 1310560 1556290 1834784 2178806 2293480 2490064 2621120 3112580 3669568 4357612 4586960 4980128 5447015 6225160 8715224 9173920 9960256 10894030 12450320 17430448 18347840 21788060 24900640 34860896 43576120 49801280 69721792 87152240 174304480 348608960