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348630912 = 2733714411
BaseRepresentation
bin10100110001111…
…010111110000000
3220022000021201000
4110301322332000
51203222142122
654332212000
711432212440
oct2461727600
9808007630
10348630912
1116987a623
129890a000
13572c6ca6
1434432120
15209180ac
hex14c7af80

348630912 has 128 divisors (see below), whose sum is σ = 1176019200. Its totient is φ = 99601920.

The previous prime is 348630907. The next prime is 348630923. The reversal of 348630912 is 219036843.

348630912 is a `hidden beast` number, since 3 + 4 + 8 + 630 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16987 + ... + 31397.

It is an arithmetic number, because the mean of its divisors is an integer number (9187650).

Almost surely, 2348630912 is an apocalyptic number.

348630912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348630912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588009600).

348630912 is an abundant number, since it is smaller than the sum of its proper divisors (827388288).

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

348630912 is a wasteful number, since it uses less digits than its factorization.

348630912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14441 (or 14423 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 348630912 is about 18671.6606652970. The cubic root of 348630912 is about 703.8097798746.

The spelling of 348630912 in words is "three hundred forty-eight million, six hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 6048 8064 12096 14411 24192 28822 43233 57644 86466 100877 115288 129699 172932 201754 230576 259398 302631 345864 389097 403508 461152 518796 605262 691728 778194 807016 907893 922304 1037592 1210524 1383456 1556388 1614032 1815786 1844608 2075184 2421048 2723679 2766912 3112776 3228064 3631572 4150368 4842096 5447358 5533824 6225552 6456128 7263144 8300736 9684192 10894716 12451104 12912256 14526288 16601472 19368384 21789432 24902208 29052576 38736768 43578864 49804416 58105152 87157728 116210304 174315456 348630912