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348101064 = 23342691997
BaseRepresentation
bin10100101111111…
…001100111001000
3220021000100220000
4110233321213020
51203103213224
654313003000
711424544623
oct2457714710
9807010800
10348101064
11169548533
12986b3460
135716ca7c
1434334dba
15208610c9
hex14bf99c8

348101064 has 80 divisors (see below), whose sum is σ = 979119900. Its totient is φ = 115544448.

The previous prime is 348101059. The next prime is 348101093. The reversal of 348101064 is 460101843.

It can be written as a sum of positive squares in 2 ways, for example, as 244672164 + 103428900 = 15642^2 + 10170^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173314 + ... + 175310.

Almost surely, 2348101064 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 348101064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489559950).

348101064 is an abundant number, since it is smaller than the sum of its proper divisors (631018836).

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

348101064 is a wasteful number, since it uses less digits than its factorization.

348101064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 348101064 is about 18657.4667090685. The cubic root of 348101064 is about 703.4530499079.

The spelling of 348101064 in words is "three hundred forty-eight million, one hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 269 324 538 648 807 1076 1614 1997 2152 2421 3228 3994 4842 5991 6456 7263 7988 9684 11982 14526 15976 17973 19368 21789 23964 29052 35946 43578 47928 53919 58104 71892 87156 107838 143784 161757 174312 215676 323514 431352 537193 647028 1074386 1294056 1611579 2148772 3223158 4297544 4834737 6446316 9669474 12892632 14504211 19338948 29008422 38677896 43512633 58016844 87025266 116033688 174050532 348101064