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348807816 = 23337230693
BaseRepresentation
bin10100110010100…
…110001010001000
3220022100021101000
4110302212022020
51203243322231
654340055000
711433550260
oct2462461210
9808307330
10348807816
11169990525
1298994460
1357359676
143447a7a0
15209506e6
hex14ca6288

348807816 has 64 divisors (see below), whose sum is σ = 1107331200. Its totient is φ = 99658944.

The previous prime is 348807803. The next prime is 348807881. The reversal of 348807816 is 618708843.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113835 + ... + 116858.

It is an arithmetic number, because the mean of its divisors is an integer number (17302050).

Almost surely, 2348807816 is an apocalyptic number.

348807816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348807816 is an abundant number, since it is smaller than the sum of its proper divisors (758523384).

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

348807816 is a wasteful number, since it uses less digits than its factorization.

348807816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230715 (or 230705 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 348807816 is about 18676.3972971234. The cubic root of 348807816 is about 703.9288032769.

The spelling of 348807816 in words is "three hundred forty-eight million, eight hundred seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 230693 461386 692079 922772 1384158 1614851 1845544 2076237 2768316 3229702 4152474 4844553 5536632 6228711 6459404 8304948 9689106 12457422 12918808 14533659 16609896 19378212 24914844 29067318 38756424 43600977 49829688 58134636 87201954 116269272 174403908 348807816