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348642816 = 293613
BaseRepresentation
bin10100110001111…
…101111000000000
3220022000220000220
4110301331320000
51203223032231
654332343040
711432262234
oct2461757000
9808026026
10348642816
11169888565
1298914a80
13572cc532
14344365c4
152091b896
hex14c7de00

348642816 has 80 divisors (see below), whose sum is σ = 944286288. Its totient is φ = 114309120.

The previous prime is 348642779. The next prime is 348642821. The reversal of 348642816 is 618246843.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=488.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5715426 + ... + 5715486.

Almost surely, 2348642816 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 348642816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472143144).

348642816 is an abundant number, since it is smaller than the sum of its proper divisors (595643472).

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

348642816 is an frugal number, since it uses more digits than its factorization.

348642816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 66 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 348642816 is about 18671.9794344360. The cubic root of 348642816 is about 703.8177903100.

The spelling of 348642816 in words is "three hundred forty-eight million, six hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1464 1536 1952 2928 3721 3904 5856 7442 7808 11163 11712 14884 15616 22326 23424 29768 31232 44652 46848 59536 89304 93696 119072 178608 226981 238144 357216 453962 476288 680943 714432 907924 952576 1361886 1428864 1815848 1905152 2723772 2857728 3631696 5447544 5715456 7263392 10895088 14526784 21790176 29053568 43580352 58107136 87160704 116214272 174321408 348642816