Search a number
-
+
348818112 = 26321931873
BaseRepresentation
bin10100110010101…
…000101011000000
3220022100210111100
4110302220223000
51203244134422
654340214400
711433622266
oct2462505300
9808323440
10348818112
11169998235
129899a400
1357361266
1434480436
15209537ac
hex14ca8ac0

348818112 has 84 divisors (see below), whose sum is σ = 1052479480. Its totient is φ = 110149632.

The previous prime is 348818059. The next prime is 348818123. The reversal of 348818112 is 211818843.

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

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

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 11 ways as a sum of consecutive naturals, for example, 4993 + ... + 26880.

Almost surely, 2348818112 is an apocalyptic number.

348818112 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 348818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526239740).

348818112 is an abundant number, since it is smaller than the sum of its proper divisors (703661368).

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

348818112 is a wasteful number, since it uses less digits than its factorization.

348818112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31910 (or 31897 counting only the distinct ones).

The product of its digits is 12288, while the sum is 36.

The square root of 348818112 is about 18676.6729371160. The cubic root of 348818112 is about 703.9357293255.

The spelling of 348818112 in words is "three hundred forty-eight million, eight hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 31873 63746 95619 127492 191238 254984 286857 382476 509968 573714 605587 764952 1019936 1147428 1211174 1529904 1816761 2039872 2294856 2422348 3059808 3633522 4589712 4844696 5450283 6119616 7267044 9179424 9689392 10900566 14534088 18358848 19378784 21801132 29068176 38757568 43602264 58136352 87204528 116272704 174409056 348818112