Search a number
-
+
348102348 = 223113197877
BaseRepresentation
bin10100101111111…
…001111011001100
3220021000102122120
4110233321323030
51203103233343
654313012540
711424551436
oct2457717314
9807012576
10348102348
111695494a0
12986b4150
1357170529
1434335656
1520861683
hex14bf9ecc

348102348 has 96 divisors (see below), whose sum is σ = 925145088. Its totient is φ = 100915200.

The previous prime is 348102347. The next prime is 348102389. The reversal of 348102348 is 843201843.

It is a super-2 number, since 2×3481023482 = 242350489366226208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (348102347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396486 + ... + 397362.

It is an arithmetic number, because the mean of its divisors is an integer number (9636928).

Almost surely, 2348102348 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 348102348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462572544).

348102348 is an abundant number, since it is smaller than the sum of its proper divisors (577042740).

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

348102348 is a wasteful number, since it uses less digits than its factorization.

348102348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 348102348 is about 18657.5011188530. The cubic root of 348102348 is about 703.4539148221.

The spelling of 348102348 in words is "three hundred forty-eight million, one hundred two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 97 124 132 186 194 291 341 372 388 582 682 877 1023 1067 1164 1364 1754 2046 2134 2631 3007 3201 3508 4092 4268 5262 6014 6402 9021 9647 10524 12028 12804 18042 19294 27187 28941 33077 36084 38588 54374 57882 66154 81561 85069 99231 108748 115764 132308 163122 170138 198462 255207 299057 326244 340276 396924 510414 598114 897171 935759 1020828 1196228 1794342 1871518 2637139 2807277 3588684 3743036 5274278 5614554 7911417 10548556 11229108 15822834 29008529 31645668 58017058 87025587 116034116 174051174 348102348